Least Common Multiple of 918, 456, 520, 381, 106

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 918, 456, 520, 381, 106 i.e. 30524546520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 918, 456, 520, 381, 106 is 30524546520.

LCM(918, 456, 520, 381, 106) = 30524546520

LCM of 918, 456, 520, 381, 106

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

LCM of:

Least Common Multiple of 918,456,520,381,106

Least Common Multiple (LCM) of 918,456,520,381,106 is 30524546520

2 918, 456, 520, 381, 106
2 459, 228, 260, 381, 53
2 459, 114, 130, 381, 53
3 459, 57, 65, 381, 53
153, 19, 65, 127, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 153 x 19 x 65 x 127 x 53 = 30524546520

Least Common Multiple of 918,456,520,381,106 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 918,456,520,381,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,456,520,381,106) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(918,456,520,381,106) x common factors =1 x 288 = 288

LCM(918,456,520,381,106) = ( 918 × 456 × 520 × 381 × 106 ) / 288

LCM(918,456,520,381,106) = 8791069397760 / 288

LCM(918,456,520,381,106) = 30524546520

∴ Least Common Multiple of 918,456,520,381,106 is 30524546520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 918, 456, 520, 381, 106

1. What is the LCM of 918, 456, 520, 381, 106?

Answer: LCM of 918, 456, 520, 381, 106 is 30524546520.

2. What are the Factors of 30524546520?

Answer: Factors of 30524546520 are . There are integers that are factors of 30524546520

3. How to Find the LCM of 918, 456, 520, 381, 106 ?

Least Common Multiple of 918, 456, 520, 381, 106.

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(918, 456, 520, 381, 106) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 x 19 x 53 x 127 = 30524546520.