Least Common Multiple of 78, 750, 105

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 78, 750, 105 i.e. 68250 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 750, 105 is 68250.

LCM(78, 750, 105) = 68250

LCM of 78, 750, 105

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

LCM of:

Least Common Multiple of 78,750,105

Least Common Multiple (LCM) of 78,750,105 is 68250

2 78, 750, 105
3 39, 375, 105
5 13, 125, 35
13, 25, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 25 x 7 = 68250

Least Common Multiple of 78,750,105 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 78,750,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,750,105) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(78,750,105) x common factors =3 x 30 = 90

LCM(78,750,105) = ( 78 × 750 × 105 ) / 90

LCM(78,750,105) = 6142500 / 90

LCM(78,750,105) = 68250

∴ Least Common Multiple of 78,750,105 is 68250

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 78, 750, 105

1. What is the LCM of 78, 750, 105?

Answer: LCM of 78, 750, 105 is 68250.

2. What are the Factors of 68250?

Answer: Factors of 68250 are . There are integers that are factors of 68250

3. How to Find the LCM of 78, 750, 105 ?

Least Common Multiple of 78, 750, 105.

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(78, 750, 105) = 2 x 3 x 5 x 5 x 5 x 7 x 13 = 68250.