Least Common Multiple of 276, 374, 442, 336

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 276, 374, 442, 336 i.e. 18786768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 276, 374, 442, 336 is 18786768.

LCM(276, 374, 442, 336) = 18786768

LCM of 276, 374, 442, 336

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

LCM of:

Least Common Multiple of 276,374,442,336

Least Common Multiple (LCM) of 276,374,442,336 is 18786768

2 276, 374, 442, 336
2 138, 187, 221, 168
3 69, 187, 221, 84
17 23, 187, 221, 28
23, 11, 13, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 23 x 11 x 13 x 28 = 18786768

Least Common Multiple of 276,374,442,336 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 276,374,442,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,374,442,336) = 2

common factors(in case of two or more numbers have common factors) = 408

GCF(276,374,442,336) x common factors =2 x 408 = 816

LCM(276,374,442,336) = ( 276 × 374 × 442 × 336 ) / 816

LCM(276,374,442,336) = 15330002688 / 816

LCM(276,374,442,336) = 18786768

∴ Least Common Multiple of 276,374,442,336 is 18786768

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 276, 374, 442, 336

1. What is the LCM of 276, 374, 442, 336?

Answer: LCM of 276, 374, 442, 336 is 18786768.

2. What are the Factors of 18786768?

Answer: Factors of 18786768 are . There are integers that are factors of 18786768

3. How to Find the LCM of 276, 374, 442, 336 ?

Least Common Multiple of 276, 374, 442, 336.

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(276, 374, 442, 336) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13 x 17 x 23 = 18786768.