Least Common Multiple of 45, 84, 24, 12, 685

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, 84, 24, 12, 685 i.e. 345240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 84, 24, 12, 685 is 345240.

LCM(45, 84, 24, 12, 685) = 345240

LCM of 45, 84, 24, 12, 685

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

LCM of:

Least Common Multiple of 45,84,24,12,685

Least Common Multiple (LCM) of 45,84,24,12,685 is 345240

2 45, 84, 24, 12, 685
2 45, 42, 12, 6, 685
3 45, 21, 3, 6, 685
5 15, 7, 1, 2, 685
3, 7, 1, 2, 137

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 7 x 1 x 2 x 137 = 345240

Least Common Multiple of 45,84,24,12,685 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 45,84,24,12,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,84,24,12,685) = 1

common factors(in case of two or more numbers have common factors) = 2160

GCF(45,84,24,12,685) x common factors =1 x 2160 = 2160

LCM(45,84,24,12,685) = ( 45 × 84 × 24 × 12 × 685 ) / 2160

LCM(45,84,24,12,685) = 745718400 / 2160

LCM(45,84,24,12,685) = 345240

∴ Least Common Multiple of 45,84,24,12,685 is 345240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 84, 24, 12, 685

1. What is the LCM of 45, 84, 24, 12, 685?

Answer: LCM of 45, 84, 24, 12, 685 is 345240.

2. What are the Factors of 345240?

Answer: Factors of 345240 are . There are integers that are factors of 345240

3. How to Find the LCM of 45, 84, 24, 12, 685 ?

Least Common Multiple of 45, 84, 24, 12, 685.

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, 84, 24, 12, 685) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 137 = 345240.