Least Common Multiple of 45, 14, 85, 645

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, 14, 85, 645 i.e. 460530 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 14, 85, 645 is 460530.

LCM(45, 14, 85, 645) = 460530

LCM of 45, 14, 85, 645

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

LCM of:

Least Common Multiple of 45,14,85,645

Least Common Multiple (LCM) of 45,14,85,645 is 460530

3 45, 14, 85, 645
5 15, 14, 85, 215
3, 14, 17, 43

∴ So the LCM of the given numbers is 3 x 5 x 3 x 14 x 17 x 43 = 460530

Least Common Multiple of 45,14,85,645 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 45,14,85,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,85,645) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(45,14,85,645) x common factors =1 x 75 = 75

LCM(45,14,85,645) = ( 45 × 14 × 85 × 645 ) / 75

LCM(45,14,85,645) = 34539750 / 75

LCM(45,14,85,645) = 460530

∴ Least Common Multiple of 45,14,85,645 is 460530

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 14, 85, 645

1. What is the LCM of 45, 14, 85, 645?

Answer: LCM of 45, 14, 85, 645 is 460530.

2. What are the Factors of 460530?

Answer: Factors of 460530 are . There are integers that are factors of 460530

3. How to Find the LCM of 45, 14, 85, 645 ?

Least Common Multiple of 45, 14, 85, 645.

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, 14, 85, 645) = 2 x 3 x 3 x 5 x 7 x 17 x 43 = 460530.