Least Common Multiple of 956/26, 105/61, 274/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 956/26, 105/61, 274/634 quickly i.e. 13752060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 956/26, 105/61, 274/634 is 13752060.

LCM(956/26, 105/61, 274/634) = 13752060

LCM of 956/26, 105/61, 274/634

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 956/26,105/61,274/634

Given numbers are 956/26,105/61,274/634

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 956,105,274

Least Common Multiple of Numerators i.e. LCM of 956,105,274 is 13752060.

GCF of Denominators means GCF of 26,61,634 as per the given fractions.

GCF of 26,61,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 956,105,274

LCM of Fractions 956/26,105/61,274/634 is 13752060

2 956, 105, 274
478, 105, 137

∴ So the LCM of the given numbers is 2 x 478 x 105 x 137 = 13752060

Least Common Multiple of 956,105,274 with GCF Formula

Least Common Multiple of 956,105,274 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 956,105,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,105,274) = 1

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

GCF(956,105,274) x common factors =1 x 2 = 2

LCM(956,105,274) = ( 956 × 105 × 274 ) / 2

LCM(956,105,274) = 27504120 / 2

LCM(956,105,274) = 13752060


Lets's calculate GCF of 26,61,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13752060/1

Therefore the LCM of Fractions 956/26,105/61,274/634 is 13752060

Greatest Common Factor of 26,61,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,61,634 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 61

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

1,61

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 26,61,634 . The biggest common factor number is the GCF number.
So the greatest common factor 26,61,634 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 956/26, 105/61, 274/634

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 956/26, 105/61, 274/634?

Answer: LCM of Numerators as per given numbers 956/26, 105/61, 274/634 is

LCM of Numerators i.e. for 956,105,274 is 13752060

GCF of denominators i.e. for 26,61,634 is 1.

Thus, LCM of Fractions is 13752060.Finally, LCM of Fractions for 956/26, 105/61, 274/634 is 13752060.