LCM for 5 and 48

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 5 and 48?

Answer

LCM of 5 and 48 is
240

First common multiples: 240, 480, 720, …

240 is divisible by both: 240 ÷ 5 = 48, 240 ÷ 48 = 5 — and 48 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 48 and of y/48 by 5.

5 and 48 are coprime (GCF = 1), so their LCM is simply the product: 5 × 48 = 240.

5 — prime

48 = 24 × 3

Prime548Highest power
2—2424
3—33
55—5

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

LCM = 24 × 3 × 5 = 240

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
543215
544220
54545
546230
548240
55050
551255
55555
558290
559295
56060
56565
57070
57575
58080
59090
5100100
5120120
5125125

FAQ

What's the Least Common Multiple (LCM) of 5 and 48?

LCM of 5 and 48 is 240

How to find the LCM of 5 and 48 using prime factorization?

To find the LCM of 5 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

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 5 and 48: LCM = 240, GCF = 1.

See Also