Least Common Multiple of 56/100, 70/658, 308/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/100, 70/658, 308/191 quickly i.e. 3080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/100, 70/658, 308/191 is 3080.

LCM(56/100, 70/658, 308/191) = 3080

LCM of 56/100, 70/658, 308/191

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 56/100,70/658,308/191

Given numbers are 56/100,70/658,308/191

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 56,70,308

Least Common Multiple of Numerators i.e. LCM of 56,70,308 is 3080.

GCF of Denominators means GCF of 100,658,191 as per the given fractions.

GCF of 100,658,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,70,308

LCM of Fractions 56/100,70/658,308/191 is 3080

2 56, 70, 308
2 28, 35, 154
7 14, 35, 77
2, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 5 x 11 = 3080

Least Common Multiple of 56,70,308 with GCF Formula

Least Common Multiple of 56,70,308 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 56,70,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,70,308) = 14

common factors(in case of two or more numbers have common factors) = 28

GCF(56,70,308) x common factors =14 x 28 = 392

LCM(56,70,308) = ( 56 × 70 × 308 ) / 392

LCM(56,70,308) = 1207360 / 392

LCM(56,70,308) = 3080


Lets's calculate GCF of 100,658,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3080/1

Therefore the LCM of Fractions 56/100,70/658,308/191 is 3080

Greatest Common Factor of 100,658,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,658,191 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 100,658,191 . The biggest common factor number is the GCF number.
So the greatest common factor 100,658,191 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 56/100, 70/658, 308/191

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 56/100, 70/658, 308/191?

Answer: LCM of Numerators as per given numbers 56/100, 70/658, 308/191 is

LCM of Numerators i.e. for 56,70,308 is 3080

GCF of denominators i.e. for 100,658,191 is 1.

Thus, LCM of Fractions is 3080.Finally, LCM of Fractions for 56/100, 70/658, 308/191 is 3080.