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    LCM for 16, 28 and 44

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 16, 28 and 44?

    Answer

    LCM of 16, 28 and 44 is
    1,232

    (One thousand two hundred thirty-two)

    1,232 is the smallest positive integer that 16, 28 and 44 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 16, 28 and 44 by Prime Factorization

    Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

    All Prime Factors of 16: 2 × 2 × 2 × 2 (exponent form: 24)

    All Prime Factors of 28: 2 × 2 × 7 (exponent form: 22 × 7)

    All Prime Factors of 44: 2 × 2 × 11 (exponent form: 22 × 11)

    Prime factor162844Highest power
    224222224
    7—7—7
    11——1111

    LCM = 24 × 7 × 11 = 1,232

    Checking the LCM of 16, 28 and 44 Two Numbers at a Time

    The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

    LCM(a, b) = (a × b) ÷ GCD(a, b)

    LCM(16, 28) = (16 × 28) ÷ 4 = 448 ÷ 4 = 112

    LCM(112, 44) = (112 × 44) ÷ 4 = 4,928 ÷ 4 = 1,232

    LCM(16, 28, 44) = 1,232

    The pairs may be taken in any order — 28 and 44 first, then 16 — and the answer is the same 1,232. That is exactly why the two routes on this page agree.

    Related Calculations

    See Also

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    What is the LCM of 16, 28 and 44?. The LCM of 16, 28 and 44 is 1,232 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    Number 1Number 2Number 3LCM
    1628293,248
    1628301,680
    1628313,472
    162832224
    1628333,696
    1628341,904
    162835560
    1628361,008
    1628374,144
    1628382,128
    1628394,368
    162840560
    1628414,592
    162842336
    1628434,816
    1628441,232
    1628455,040
    1628462,576
    1628475,264
    162848336
    162849784
    1628502,800
    1628515,712
    1628521,456
    1628535,936
    1628543,024
    1628556,160
    162856112
    1628576,384
    1628583,248

    About "Least Common Multiple of 3 Numbers" Calculator

    This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 16, 28 and 44? (The answer is: 1,232). Enter the first number (e.g. '16'), the second (e.g. '28') and the third (e.g. '44'), then hit the 'Calculate' button.
    The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    FAQ

    What's the Least Common Multiple (LCM) of 16, 28 and 44?

    LCM of 16, 28 and 44 is 1,232

    How to find the LCM of 16, 28 and 44 by prime factorization?

    Take every prime that appears in 16, 28 and 44 to the highest power it reaches in any one of them and multiply: 2⁴ × 7 × 11 = 1,232.

    Can you get the LCM of 16, 28 and 44 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 16 and 28 is 112, and the LCM of 112 and 44 is 1,232 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,232 divisible by 16, 28 and 44?

    Yes, and by definition it is the smallest positive integer that is: 1,232 ÷ 16, 1,232 ÷ 28 and 1,232 ÷ 44 all come out whole. Any other common multiple of 16, 28 and 44 is a multiple of 1,232.

    See Also