Least Common Multiple of 656/61, 112/26, 945/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/61, 112/26, 945/52 quickly i.e. 619920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/61, 112/26, 945/52 is 619920.

LCM(656/61, 112/26, 945/52) = 619920

LCM of 656/61, 112/26, 945/52

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 656/61,112/26,945/52

Given numbers are 656/61,112/26,945/52

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 656,112,945

Least Common Multiple of Numerators i.e. LCM of 656,112,945 is 619920.

GCF of Denominators means GCF of 61,26,52 as per the given fractions.

GCF of 61,26,52 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,112,945

LCM of Fractions 656/61,112/26,945/52 is 619920

2 656, 112, 945
2 328, 56, 945
2 164, 28, 945
2 82, 14, 945
7 41, 7, 945
41, 1, 135

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 41 x 1 x 135 = 619920

Least Common Multiple of 656,112,945 with GCF Formula

Least Common Multiple of 656,112,945 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 656,112,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,112,945) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(656,112,945) x common factors =1 x 112 = 112

LCM(656,112,945) = ( 656 × 112 × 945 ) / 112

LCM(656,112,945) = 69431040 / 112

LCM(656,112,945) = 619920


Lets's calculate GCF of 61,26,52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619920/1

Therefore the LCM of Fractions 656/61,112/26,945/52 is 619920

Greatest Common Factor of 61,26,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,26,52 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 61,26,52 . The biggest common factor number is the GCF number.
So the greatest common factor 61,26,52 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 656/61, 112/26, 945/52

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 656/61, 112/26, 945/52?

Answer: LCM of Numerators as per given numbers 656/61, 112/26, 945/52 is

LCM of Numerators i.e. for 656,112,945 is 619920

GCF of denominators i.e. for 61,26,52 is 1.

Thus, LCM of Fractions is 619920.Finally, LCM of Fractions for 656/61, 112/26, 945/52 is 619920.