Least Common Multiple of 974/26, 109/5546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/26, 109/5546 quickly i.e. 53083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/26, 109/5546 is 53083.

LCM(974/26, 109/5546) = 53083

LCM of 974/26, 109/5546

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 974/26,109/5546

Given numbers are 974/26,109/5546

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 974,109

Least Common Multiple of Numerators i.e. LCM of 974,109 is 106166.

GCF of Denominators means GCF of 26,5546 as per the given fractions.

GCF of 26,5546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,109

LCM of Fractions 974/26,109/5546 is 53083

Given numbers has no common factors except 1. So, there LCM is their product i.e 106166

Least Common Multiple of 974,109 with GCF Formula

Least Common Multiple of 974,109 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 974,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,109) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(974,109) x common factors =1 x 1 = 1

LCM(974,109) = ( 974 × 109 ) / 1

LCM(974,109) = 106166 / 1

LCM(974,109) = 106166


Lets's calculate GCF of 26,5546

2 26, 5546
13, 2773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106166/2

Therefore the LCM of Fractions 974/26,109/5546 is 53083

Greatest Common Factor of 26,5546 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,5546 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 5546

List of positive integer factors of 5546 that divides 5546 without a remainder.

1,2,47,59,94,118,2773,5546

Greatest Common Factor

We found the factors 26,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 26,5546 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 974/26, 109/5546

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 974/26, 109/5546?

Answer: LCM of Numerators as per given numbers 974/26, 109/5546 is

LCM of Numerators i.e. for 974,109 is 106166

GCF of denominators i.e. for 26,5546 is 2.

Thus, LCM of Fractions is 53083.Finally, LCM of Fractions for 974/26, 109/5546 is 53083.