Least Common Multiple of 37, 84, 84, 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 37, 84, 84, 705 i.e. 730380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 37, 84, 84, 705 is 730380.

LCM(37, 84, 84, 705) = 730380

LCM of 37, 84, 84, 705

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

LCM of:

Least Common Multiple of 37,84,84,705

Least Common Multiple (LCM) of 37,84,84,705 is 730380

2 37, 84, 84, 705
2 37, 42, 42, 705
3 37, 21, 21, 705
7 37, 7, 7, 235
37, 1, 1, 235

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 37 x 1 x 1 x 235 = 730380

Least Common Multiple of 37,84,84,705 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 37,84,84,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,84,84,705) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(37,84,84,705) x common factors =1 x 252 = 252

LCM(37,84,84,705) = ( 37 × 84 × 84 × 705 ) / 252

LCM(37,84,84,705) = 184055760 / 252

LCM(37,84,84,705) = 730380

∴ Least Common Multiple of 37,84,84,705 is 730380

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 37, 84, 84, 705

1. What is the LCM of 37, 84, 84, 705?

Answer: LCM of 37, 84, 84, 705 is 730380.

2. What are the Factors of 730380?

Answer: Factors of 730380 are . There are integers that are factors of 730380

3. How to Find the LCM of 37, 84, 84, 705 ?

Least Common Multiple of 37, 84, 84, 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(37, 84, 84, 705) = 2 x 2 x 3 x 5 x 7 x 37 x 47 = 730380.