Least Common Multiple of 70, 100, 546

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 70, 100, 546 i.e. 27300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 70, 100, 546 is 27300.

LCM(70, 100, 546) = 27300

LCM of 70, 100, 546

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

LCM of:

Least Common Multiple of 70,100,546

Least Common Multiple (LCM) of 70,100,546 is 27300

2 70, 100, 546
5 35, 50, 273
7 7, 10, 273
1, 10, 39

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 10 x 39 = 27300

Least Common Multiple of 70,100,546 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 70,100,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,100,546) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(70,100,546) x common factors =2 x 70 = 140

LCM(70,100,546) = ( 70 × 100 × 546 ) / 140

LCM(70,100,546) = 3822000 / 140

LCM(70,100,546) = 27300

∴ Least Common Multiple of 70,100,546 is 27300

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 70, 100, 546

1. What is the LCM of 70, 100, 546?

Answer: LCM of 70, 100, 546 is 27300.

2. What are the Factors of 27300?

Answer: Factors of 27300 are . There are integers that are factors of 27300

3. How to Find the LCM of 70, 100, 546 ?

Least Common Multiple of 70, 100, 546.

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(70, 100, 546) = 2 x 2 x 3 x 5 x 5 x 7 x 13 = 27300.