Least Common Multiple of 140/896, 210/657, 116/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/896, 210/657, 116/210 quickly i.e. 12180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/896, 210/657, 116/210 is 12180.

LCM(140/896, 210/657, 116/210) = 12180

LCM of 140/896, 210/657, 116/210

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 140/896,210/657,116/210

Given numbers are 140/896,210/657,116/210

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 140,210,116

Least Common Multiple of Numerators i.e. LCM of 140,210,116 is 12180.

GCF of Denominators means GCF of 896,657,210 as per the given fractions.

GCF of 896,657,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,210,116

LCM of Fractions 140/896,210/657,116/210 is 12180

2 140, 210, 116
2 70, 105, 58
5 35, 105, 29
7 7, 21, 29
1, 3, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 3 x 29 = 12180

Least Common Multiple of 140,210,116 with GCF Formula

Least Common Multiple of 140,210,116 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 140,210,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,210,116) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(140,210,116) x common factors =2 x 140 = 280

LCM(140,210,116) = ( 140 × 210 × 116 ) / 280

LCM(140,210,116) = 3410400 / 280

LCM(140,210,116) = 12180


Lets's calculate GCF of 896,657,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12180/1

Therefore the LCM of Fractions 140/896,210/657,116/210 is 12180

Greatest Common Factor of 896,657,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,657,210 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 896,657,210 . The biggest common factor number is the GCF number.
So the greatest common factor 896,657,210 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 140/896, 210/657, 116/210

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 140/896, 210/657, 116/210?

Answer: LCM of Numerators as per given numbers 140/896, 210/657, 116/210 is

LCM of Numerators i.e. for 140,210,116 is 12180

GCF of denominators i.e. for 896,657,210 is 1.

Thus, LCM of Fractions is 12180.Finally, LCM of Fractions for 140/896, 210/657, 116/210 is 12180.