Least Common Multiple of 484, 968, 294, 149, 360

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 484, 968, 294, 149, 360 i.e. 318031560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 484, 968, 294, 149, 360 is 318031560.

LCM(484, 968, 294, 149, 360) = 318031560

LCM of 484, 968, 294, 149, 360

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

LCM of:

Least Common Multiple of 484,968,294,149,360

Least Common Multiple (LCM) of 484,968,294,149,360 is 318031560

2 484, 968, 294, 149, 360
2 242, 484, 147, 149, 180
2 121, 242, 147, 149, 90
3 121, 121, 147, 149, 45
11 121, 121, 49, 149, 15
11 11, 11, 49, 149, 15
1, 1, 49, 149, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 11 x 1 x 1 x 49 x 149 x 15 = 318031560

Least Common Multiple of 484,968,294,149,360 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 484,968,294,149,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,968,294,149,360) = 1

common factors(in case of two or more numbers have common factors) = 23232

GCF(484,968,294,149,360) x common factors =1 x 23232 = 23232

LCM(484,968,294,149,360) = ( 484 × 968 × 294 × 149 × 360 ) / 23232

LCM(484,968,294,149,360) = 7388509201920 / 23232

LCM(484,968,294,149,360) = 318031560

∴ Least Common Multiple of 484,968,294,149,360 is 318031560

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 484, 968, 294, 149, 360

1. What is the LCM of 484, 968, 294, 149, 360?

Answer: LCM of 484, 968, 294, 149, 360 is 318031560.

2. What are the Factors of 318031560?

Answer: Factors of 318031560 are . There are integers that are factors of 318031560

3. How to Find the LCM of 484, 968, 294, 149, 360 ?

Least Common Multiple of 484, 968, 294, 149, 360.

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(484, 968, 294, 149, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11 x 11 x 149 = 318031560.