Least Common Multiple of 37, 96, 68, 272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 37, 96, 68, 272 i.e. 60384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 37, 96, 68, 272 is 60384.

LCM(37, 96, 68, 272) = 60384

LCM of 37, 96, 68, 272

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 37,96,68,272

Least Common Multiple (LCM) of 37,96,68,272 is 60384

2 37, 96, 68, 272
2 37, 48, 34, 136
2 37, 24, 17, 68
2 37, 12, 17, 34
17 37, 6, 17, 17
37, 6, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 37 x 6 x 1 x 1 = 60384

Least Common Multiple of 37,96,68,272 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,96,68,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,96,68,272) = 1

common factors(in case of two or more numbers have common factors) = 1088

GCF(37,96,68,272) x common factors =1 x 1088 = 1088

LCM(37,96,68,272) = ( 37 × 96 × 68 × 272 ) / 1088

LCM(37,96,68,272) = 65697792 / 1088

LCM(37,96,68,272) = 60384

∴ Least Common Multiple of 37,96,68,272 is 60384

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 37, 96, 68, 272

1. What is the LCM of 37, 96, 68, 272?

Answer: LCM of 37, 96, 68, 272 is 60384.

2. What are the Factors of 60384?

Answer: Factors of 60384 are . There are integers that are factors of 60384

3. How to Find the LCM of 37, 96, 68, 272 ?

Least Common Multiple of 37, 96, 68, 272.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(37, 96, 68, 272) = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 37 = 60384.