LCM for 100 and 285

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What's the Least Common Multiple (LCM) of 100 and 285?

Answer

LCM of 100 and 285 is
5,700

First common multiples: 5,700; 11,400; 17,100; …

5,700 is divisible by both: 5,700 ÷ 100 = 57; 5,700 ÷ 285 = 20 — and 57 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 57 and of y/285 by 20.

100 = 22 × 52

285 = 3 × 5 × 19

Prime100285Highest power
222—22
3—33
552552
19—1919

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 3 × 52 × 19 = 5,700

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
100160800
1001653,300
100175700
100180900
1001901,900
100200200
1002154,300
1002201,100
100225900
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900
1003201,600
1003251,300
1003303,300
1003401,700
1003601,800
1003657,300
1003751,500
1003857,700
100400400
1004058,100
1004158,300
1004458,900
100450900

FAQ

What's the Least Common Multiple (LCM) of 100 and 285?

LCM of 100 and 285 is 5,700

How to find the LCM of 100 and 285 using prime factorization?

To find the LCM of 100 and 285, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,700.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 100 and 285: LCM = 5,700, GCF = 5.

See Also