Least Common Multiple of 12, 68, 60, 102

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, 68, 60, 102 i.e. 1020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 68, 60, 102 is 1020.

LCM(12, 68, 60, 102) = 1020

LCM of 12, 68, 60, 102

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

LCM of:

Least Common Multiple of 12,68,60,102

Least Common Multiple (LCM) of 12,68,60,102 is 1020

2 12, 68, 60, 102
2 6, 34, 30, 51
3 3, 17, 15, 51
17 1, 17, 5, 17
1, 1, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 1 x 5 x 1 = 1020

Least Common Multiple of 12,68,60,102 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 12,68,60,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,68,60,102) = 2

common factors(in case of two or more numbers have common factors) = 2448

GCF(12,68,60,102) x common factors =2 x 2448 = 4896

LCM(12,68,60,102) = ( 12 × 68 × 60 × 102 ) / 4896

LCM(12,68,60,102) = 4993920 / 4896

LCM(12,68,60,102) = 1020

∴ Least Common Multiple of 12,68,60,102 is 1020

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 68, 60, 102

1. What is the LCM of 12, 68, 60, 102?

Answer: LCM of 12, 68, 60, 102 is 1020.

2. What are the Factors of 1020?

Answer: Factors of 1020 are . There are integers that are factors of 1020

3. How to Find the LCM of 12, 68, 60, 102 ?

Least Common Multiple of 12, 68, 60, 102.

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, 68, 60, 102) = 2 x 2 x 3 x 5 x 17 = 1020.