Least Common Multiple of 462, 188, 324, 242

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 462, 188, 324, 242 i.e. 12898116 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 188, 324, 242 is 12898116.

LCM(462, 188, 324, 242) = 12898116

LCM of 462, 188, 324, 242

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

LCM of:

Least Common Multiple of 462,188,324,242

Least Common Multiple (LCM) of 462,188,324,242 is 12898116

2 462, 188, 324, 242
2 231, 94, 162, 121
3 231, 47, 81, 121
11 77, 47, 27, 121
7, 47, 27, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 7 x 47 x 27 x 11 = 12898116

Least Common Multiple of 462,188,324,242 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 462,188,324,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,188,324,242) = 2

common factors(in case of two or more numbers have common factors) = 264

GCF(462,188,324,242) x common factors =2 x 264 = 528

LCM(462,188,324,242) = ( 462 × 188 × 324 × 242 ) / 528

LCM(462,188,324,242) = 6810205248 / 528

LCM(462,188,324,242) = 12898116

∴ Least Common Multiple of 462,188,324,242 is 12898116

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 462, 188, 324, 242

1. What is the LCM of 462, 188, 324, 242?

Answer: LCM of 462, 188, 324, 242 is 12898116.

2. What are the Factors of 12898116?

Answer: Factors of 12898116 are . There are integers that are factors of 12898116

3. How to Find the LCM of 462, 188, 324, 242 ?

Least Common Multiple of 462, 188, 324, 242.

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(462, 188, 324, 242) = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 11 x 47 = 12898116.