Least Common Multiple of 68, 70, 660

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 68, 70, 660 i.e. 78540 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 70, 660 is 78540.

LCM(68, 70, 660) = 78540

LCM of 68, 70, 660

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

LCM of:

Least Common Multiple of 68,70,660

Least Common Multiple (LCM) of 68,70,660 is 78540

2 68, 70, 660
2 34, 35, 330
5 17, 35, 165
17, 7, 33

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 7 x 33 = 78540

Least Common Multiple of 68,70,660 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 68,70,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,70,660) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(68,70,660) x common factors =2 x 20 = 40

LCM(68,70,660) = ( 68 × 70 × 660 ) / 40

LCM(68,70,660) = 3141600 / 40

LCM(68,70,660) = 78540

∴ Least Common Multiple of 68,70,660 is 78540

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 68, 70, 660

1. What is the LCM of 68, 70, 660?

Answer: LCM of 68, 70, 660 is 78540.

2. What are the Factors of 78540?

Answer: Factors of 78540 are . There are integers that are factors of 78540

3. How to Find the LCM of 68, 70, 660 ?

Least Common Multiple of 68, 70, 660.

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(68, 70, 660) = 2 x 2 x 3 x 5 x 7 x 11 x 17 = 78540.