Least Common Multiple of 276, 18, 456, 359

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, 18, 456, 359 i.e. 11295576 smallest integer divisible by all numbers.

Least common multiple (LCM) of 276, 18, 456, 359 is 11295576.

LCM(276, 18, 456, 359) = 11295576

LCM of 276, 18, 456, 359

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

LCM of:

Least Common Multiple of 276,18,456,359

Least Common Multiple (LCM) of 276,18,456,359 is 11295576

2 276, 18, 456, 359
2 138, 9, 228, 359
3 69, 9, 114, 359
23, 3, 38, 359

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 3 x 38 x 359 = 11295576

Least Common Multiple of 276,18,456,359 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 276,18,456,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,18,456,359) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(276,18,456,359) x common factors =1 x 72 = 72

LCM(276,18,456,359) = ( 276 × 18 × 456 × 359 ) / 72

LCM(276,18,456,359) = 813281472 / 72

LCM(276,18,456,359) = 11295576

∴ Least Common Multiple of 276,18,456,359 is 11295576

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 276, 18, 456, 359

1. What is the LCM of 276, 18, 456, 359?

Answer: LCM of 276, 18, 456, 359 is 11295576.

2. What are the Factors of 11295576?

Answer: Factors of 11295576 are . There are integers that are factors of 11295576

3. How to Find the LCM of 276, 18, 456, 359 ?

Least Common Multiple of 276, 18, 456, 359.

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, 18, 456, 359) = 2 x 2 x 2 x 3 x 3 x 19 x 23 x 359 = 11295576.