Least Common Multiple of 12, 58, 87, 75, 750

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 12, 58, 87, 75, 750 i.e. 43500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 58, 87, 75, 750 is 43500.

LCM(12, 58, 87, 75, 750) = 43500

LCM of 12, 58, 87, 75, 750

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

LCM of:

Least Common Multiple of 12,58,87,75,750

Least Common Multiple (LCM) of 12,58,87,75,750 is 43500

2 12, 58, 87, 75, 750
3 6, 29, 87, 75, 375
5 2, 29, 29, 25, 125
5 2, 29, 29, 5, 25
29 2, 29, 29, 1, 5
2, 1, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 29 x 2 x 1 x 1 x 1 x 5 = 43500

Least Common Multiple of 12,58,87,75,750 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 12,58,87,75,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,58,87,75,750) = 1

common factors(in case of two or more numbers have common factors) = 78300

GCF(12,58,87,75,750) x common factors =1 x 78300 = 78300

LCM(12,58,87,75,750) = ( 12 × 58 × 87 × 75 × 750 ) / 78300

LCM(12,58,87,75,750) = 3406050000 / 78300

LCM(12,58,87,75,750) = 43500

∴ Least Common Multiple of 12,58,87,75,750 is 43500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 58, 87, 75, 750

1. What is the LCM of 12, 58, 87, 75, 750?

Answer: LCM of 12, 58, 87, 75, 750 is 43500.

2. What are the Factors of 43500?

Answer: Factors of 43500 are . There are integers that are factors of 43500

3. How to Find the LCM of 12, 58, 87, 75, 750 ?

Least Common Multiple of 12, 58, 87, 75, 750.

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(12, 58, 87, 75, 750) = 2 x 2 x 3 x 5 x 5 x 5 x 29 = 43500.