Least Common Multiple of 45, 43, 89, 516

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, 43, 89, 516 i.e. 688860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 43, 89, 516 is 688860.

LCM(45, 43, 89, 516) = 688860

LCM of 45, 43, 89, 516

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

LCM of:

Least Common Multiple of 45,43,89,516

Least Common Multiple (LCM) of 45,43,89,516 is 688860

3 45, 43, 89, 516
43 15, 43, 89, 172
15, 1, 89, 4

∴ So the LCM of the given numbers is 3 x 43 x 15 x 1 x 89 x 4 = 688860

Least Common Multiple of 45,43,89,516 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 45,43,89,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,43,89,516) = 1

common factors(in case of two or more numbers have common factors) = 129

GCF(45,43,89,516) x common factors =1 x 129 = 129

LCM(45,43,89,516) = ( 45 × 43 × 89 × 516 ) / 129

LCM(45,43,89,516) = 88862940 / 129

LCM(45,43,89,516) = 688860

∴ Least Common Multiple of 45,43,89,516 is 688860

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 43, 89, 516

1. What is the LCM of 45, 43, 89, 516?

Answer: LCM of 45, 43, 89, 516 is 688860.

2. What are the Factors of 688860?

Answer: Factors of 688860 are . There are integers that are factors of 688860

3. How to Find the LCM of 45, 43, 89, 516 ?

Least Common Multiple of 45, 43, 89, 516.

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, 43, 89, 516) = 2 x 2 x 3 x 3 x 5 x 43 x 89 = 688860.