Least Common Multiple of 870/25, 331/8373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 870/25, 331/8373 quickly i.e. 287970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/25, 331/8373 is 287970.

LCM(870/25, 331/8373) = 287970

LCM of 870/25, 331/8373

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 870/25,331/8373

Given numbers are 870/25,331/8373

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 870,331

Least Common Multiple of Numerators i.e. LCM of 870,331 is 287970.

GCF of Denominators means GCF of 25,8373 as per the given fractions.

GCF of 25,8373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,331

LCM of Fractions 870/25,331/8373 is 287970

Given numbers has no common factors except 1. So, there LCM is their product i.e 287970

Least Common Multiple of 870,331 with GCF Formula

Least Common Multiple of 870,331 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 870,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,331) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(870,331) x common factors =1 x 1 = 1

LCM(870,331) = ( 870 × 331 ) / 1

LCM(870,331) = 287970 / 1

LCM(870,331) = 287970


Lets's calculate GCF of 25,8373

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287970/1

Therefore the LCM of Fractions 870/25,331/8373 is 287970

Greatest Common Factor of 25,8373 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,8373 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1,3,2791,8373

Greatest Common Factor

We found the factors 25,8373 . The biggest common factor number is the GCF number.
So the greatest common factor 25,8373 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 870/25, 331/8373

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 870/25, 331/8373?

Answer: LCM of Numerators as per given numbers 870/25, 331/8373 is

LCM of Numerators i.e. for 870,331 is 287970

GCF of denominators i.e. for 25,8373 is 1.

Thus, LCM of Fractions is 287970.Finally, LCM of Fractions for 870/25, 331/8373 is 287970.