Least Common Multiple of 831/140, 977/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/140, 977/420 quickly i.e. 811887/140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/140, 977/420 is 811887/140.

LCM(831/140, 977/420) = 811887/140

LCM of 831/140, 977/420

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 831/140,977/420

Given numbers are 831/140,977/420

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 831,977

Least Common Multiple of Numerators i.e. LCM of 831,977 is 811887.

GCF of Denominators means GCF of 140,420 as per the given fractions.

GCF of 140,420 is 140 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,977

LCM of Fractions 831/140,977/420 is 811887/140

Given numbers has no common factors except 1. So, there LCM is their product i.e 811887

Least Common Multiple of 831,977 with GCF Formula

Least Common Multiple of 831,977 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 831,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,977) = 1

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

GCF(831,977) x common factors =1 x 1 = 1

LCM(831,977) = ( 831 × 977 ) / 1

LCM(831,977) = 811887 / 1

LCM(831,977) = 811887


Lets's calculate GCF of 140,420

2 140, 420
2 70, 210
5 35, 105
7 7, 21
1, 3

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811887/140

Therefore the LCM of Fractions 831/140,977/420 is 811887/140

Greatest Common Factor of 140,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,420 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 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 140,420 . The biggest common factor number is the GCF number.
So the greatest common factor 140,420 is 140.


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 831/140, 977/420

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 831/140, 977/420?

Answer: LCM of Numerators as per given numbers 831/140, 977/420 is

LCM of Numerators i.e. for 831,977 is 811887

GCF of denominators i.e. for 140,420 is 140.

Thus, LCM of Fractions is 811887/140.Finally, LCM of Fractions for 831/140, 977/420 is 811887/140.