Least Common Multiple of 45, 62, 21, 705

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 45, 62, 21, 705 i.e. 917910 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 62, 21, 705 is 917910.

LCM(45, 62, 21, 705) = 917910

LCM of 45, 62, 21, 705

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

LCM of:

Least Common Multiple of 45,62,21,705

Least Common Multiple (LCM) of 45,62,21,705 is 917910

3 45, 62, 21, 705
5 15, 62, 7, 235
3, 62, 7, 47

∴ So the LCM of the given numbers is 3 x 5 x 3 x 62 x 7 x 47 = 917910

Least Common Multiple of 45,62,21,705 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 45,62,21,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,62,21,705) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,62,21,705) x common factors =1 x 45 = 45

LCM(45,62,21,705) = ( 45 × 62 × 21 × 705 ) / 45

LCM(45,62,21,705) = 41305950 / 45

LCM(45,62,21,705) = 917910

∴ Least Common Multiple of 45,62,21,705 is 917910

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 62, 21, 705

1. What is the LCM of 45, 62, 21, 705?

Answer: LCM of 45, 62, 21, 705 is 917910.

2. What are the Factors of 917910?

Answer: Factors of 917910 are . There are integers that are factors of 917910

3. How to Find the LCM of 45, 62, 21, 705 ?

Least Common Multiple of 45, 62, 21, 705.

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(45, 62, 21, 705) = 2 x 3 x 3 x 5 x 7 x 31 x 47 = 917910.