Least Common Multiple of 78, 170, 612

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 78, 170, 612 i.e. 39780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 170, 612 is 39780.

LCM(78, 170, 612) = 39780

LCM of 78, 170, 612

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

LCM of:

Least Common Multiple of 78,170,612

Least Common Multiple (LCM) of 78,170,612 is 39780

2 78, 170, 612
3 39, 85, 306
17 13, 85, 102
13, 5, 6

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 5 x 6 = 39780

Least Common Multiple of 78,170,612 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 78,170,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,170,612) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(78,170,612) x common factors =2 x 102 = 204

LCM(78,170,612) = ( 78 × 170 × 612 ) / 204

LCM(78,170,612) = 8115120 / 204

LCM(78,170,612) = 39780

∴ Least Common Multiple of 78,170,612 is 39780

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 78, 170, 612

1. What is the LCM of 78, 170, 612?

Answer: LCM of 78, 170, 612 is 39780.

2. What are the Factors of 39780?

Answer: Factors of 39780 are . There are integers that are factors of 39780

3. How to Find the LCM of 78, 170, 612 ?

Least Common Multiple of 78, 170, 612.

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(78, 170, 612) = 2 x 2 x 3 x 3 x 5 x 13 x 17 = 39780.