Least Common Multiple of 12, 21, 42, 488

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 12, 21, 42, 488 i.e. 10248 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 21, 42, 488 is 10248.

LCM(12, 21, 42, 488) = 10248

LCM of 12, 21, 42, 488

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

LCM of:

Least Common Multiple of 12,21,42,488

Least Common Multiple (LCM) of 12,21,42,488 is 10248

2 12, 21, 42, 488
2 6, 21, 21, 244
3 3, 21, 21, 122
7 1, 7, 7, 122
1, 1, 1, 122

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 1 x 122 = 10248

Least Common Multiple of 12,21,42,488 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 12,21,42,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,21,42,488) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(12,21,42,488) x common factors =1 x 504 = 504

LCM(12,21,42,488) = ( 12 × 21 × 42 × 488 ) / 504

LCM(12,21,42,488) = 5164992 / 504

LCM(12,21,42,488) = 10248

∴ Least Common Multiple of 12,21,42,488 is 10248

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 21, 42, 488

1. What is the LCM of 12, 21, 42, 488?

Answer: LCM of 12, 21, 42, 488 is 10248.

2. What are the Factors of 10248?

Answer: Factors of 10248 are . There are integers that are factors of 10248

3. How to Find the LCM of 12, 21, 42, 488 ?

Least Common Multiple of 12, 21, 42, 488.

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(12, 21, 42, 488) = 2 x 2 x 2 x 3 x 7 x 61 = 10248.