Least Common Multiple of 45, 95, 58, 867

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, 95, 58, 867 i.e. 14331510 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 95, 58, 867 is 14331510.

LCM(45, 95, 58, 867) = 14331510

LCM of 45, 95, 58, 867

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

LCM of:

Least Common Multiple of 45,95,58,867

Least Common Multiple (LCM) of 45,95,58,867 is 14331510

3 45, 95, 58, 867
5 15, 95, 58, 289
3, 19, 58, 289

∴ So the LCM of the given numbers is 3 x 5 x 3 x 19 x 58 x 289 = 14331510

Least Common Multiple of 45,95,58,867 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 45,95,58,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,95,58,867) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,95,58,867) x common factors =1 x 15 = 15

LCM(45,95,58,867) = ( 45 × 95 × 58 × 867 ) / 15

LCM(45,95,58,867) = 214972650 / 15

LCM(45,95,58,867) = 14331510

∴ Least Common Multiple of 45,95,58,867 is 14331510

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 95, 58, 867

1. What is the LCM of 45, 95, 58, 867?

Answer: LCM of 45, 95, 58, 867 is 14331510.

2. What are the Factors of 14331510?

Answer: Factors of 14331510 are . There are integers that are factors of 14331510

3. How to Find the LCM of 45, 95, 58, 867 ?

Least Common Multiple of 45, 95, 58, 867.

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, 95, 58, 867) = 2 x 3 x 3 x 5 x 17 x 17 x 19 x 29 = 14331510.