Least Common Multiple of 462/870, 1922/7937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/870, 1922/7937 quickly i.e. 443982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/870, 1922/7937 is 443982.

LCM(462/870, 1922/7937) = 443982

LCM of 462/870, 1922/7937

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 462/870,1922/7937

Given numbers are 462/870,1922/7937

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 462,1922

Least Common Multiple of Numerators i.e. LCM of 462,1922 is 443982.

GCF of Denominators means GCF of 870,7937 as per the given fractions.

GCF of 870,7937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,1922

LCM of Fractions 462/870,1922/7937 is 443982

2 462, 1922
231, 961

∴ So the LCM of the given numbers is 2 x 231 x 961 = 443982

Least Common Multiple of 462,1922 with GCF Formula

Least Common Multiple of 462,1922 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 462,1922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,1922) = 2

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

GCF(462,1922) x common factors =2 x 1 = 2

LCM(462,1922) = ( 462 × 1922 ) / 2

LCM(462,1922) = 887964 / 2

LCM(462,1922) = 443982


Lets's calculate GCF of 870,7937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443982/1

Therefore the LCM of Fractions 462/870,1922/7937 is 443982

Greatest Common Factor of 870,7937 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,7937 By Matching Biggest Common Factor Method

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

Factors of 7937

List of positive integer factors of 7937 that divides 7937 without a remainder.

1,7937

Greatest Common Factor

We found the factors 870,7937 . The biggest common factor number is the GCF number.
So the greatest common factor 870,7937 is 1.


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 462/870, 1922/7937

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 462/870, 1922/7937?

Answer: LCM of Numerators as per given numbers 462/870, 1922/7937 is

LCM of Numerators i.e. for 462,1922 is 443982

GCF of denominators i.e. for 870,7937 is 1.

Thus, LCM of Fractions is 443982.Finally, LCM of Fractions for 462/870, 1922/7937 is 443982.