Least Common Multiple of 91/570, 134/14, 422/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/570, 134/14, 422/616 quickly i.e. 1286467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/570, 134/14, 422/616 is 1286467.

LCM(91/570, 134/14, 422/616) = 1286467

LCM of 91/570, 134/14, 422/616

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 91/570,134/14,422/616

Given numbers are 91/570,134/14,422/616

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 91,134,422

Least Common Multiple of Numerators i.e. LCM of 91,134,422 is 2572934.

GCF of Denominators means GCF of 570,14,616 as per the given fractions.

GCF of 570,14,616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,134,422

LCM of Fractions 91/570,134/14,422/616 is 1286467

2 91, 134, 422
91, 67, 211

∴ So the LCM of the given numbers is 2 x 91 x 67 x 211 = 2572934

Least Common Multiple of 91,134,422 with GCF Formula

Least Common Multiple of 91,134,422 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 91,134,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,134,422) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,134,422) x common factors =1 x 2 = 2

LCM(91,134,422) = ( 91 × 134 × 422 ) / 2

LCM(91,134,422) = 5145868 / 2

LCM(91,134,422) = 2572934


Lets's calculate GCF of 570,14,616

2 570, 14, 616
285, 7, 308

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2572934/2

Therefore the LCM of Fractions 91/570,134/14,422/616 is 1286467

Greatest Common Factor of 570,14,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,14,616 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 570,14,616 . The biggest common factor number is the GCF number.
So the greatest common factor 570,14,616 is 2.


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 91/570, 134/14, 422/616

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 91/570, 134/14, 422/616?

Answer: LCM of Numerators as per given numbers 91/570, 134/14, 422/616 is

LCM of Numerators i.e. for 91,134,422 is 2572934

GCF of denominators i.e. for 570,14,616 is 2.

Thus, LCM of Fractions is 1286467.Finally, LCM of Fractions for 91/570, 134/14, 422/616 is 1286467.