Least Common Multiple of 370/140, 8967/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/140, 8967/870 quickly i.e. 331779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/140, 8967/870 is 331779.

LCM(370/140, 8967/870) = 331779

LCM of 370/140, 8967/870

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 370/140,8967/870

Given numbers are 370/140,8967/870

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 370,8967

Least Common Multiple of Numerators i.e. LCM of 370,8967 is 3317790.

GCF of Denominators means GCF of 140,870 as per the given fractions.

GCF of 140,870 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,8967

LCM of Fractions 370/140,8967/870 is 331779

Given numbers has no common factors except 1. So, there LCM is their product i.e 3317790

Least Common Multiple of 370,8967 with GCF Formula

Least Common Multiple of 370,8967 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 370,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,8967) = 1

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

GCF(370,8967) x common factors =1 x 1 = 1

LCM(370,8967) = ( 370 × 8967 ) / 1

LCM(370,8967) = 3317790 / 1

LCM(370,8967) = 3317790


Lets's calculate GCF of 140,870

2 140, 870
5 70, 435
14, 87

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3317790/10

Therefore the LCM of Fractions 370/140,8967/870 is 331779

Greatest Common Factor of 140,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,870 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 140,870 . The biggest common factor number is the GCF number.
So the greatest common factor 140,870 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 370/140, 8967/870

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 370/140, 8967/870?

Answer: LCM of Numerators as per given numbers 370/140, 8967/870 is

LCM of Numerators i.e. for 370,8967 is 3317790

GCF of denominators i.e. for 140,870 is 10.

Thus, LCM of Fractions is 331779.Finally, LCM of Fractions for 370/140, 8967/870 is 331779.