Least Common Multiple of 974/25, 686/7210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/25, 686/7210 quickly i.e. 334082/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/25, 686/7210 is 334082/5.

LCM(974/25, 686/7210) = 334082/5

LCM of 974/25, 686/7210

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 974/25,686/7210

Given numbers are 974/25,686/7210

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 974,686

Least Common Multiple of Numerators i.e. LCM of 974,686 is 334082.

GCF of Denominators means GCF of 25,7210 as per the given fractions.

GCF of 25,7210 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,686

LCM of Fractions 974/25,686/7210 is 334082/5

2 974, 686
487, 343

∴ So the LCM of the given numbers is 2 x 487 x 343 = 334082

Least Common Multiple of 974,686 with GCF Formula

Least Common Multiple of 974,686 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 974,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,686) = 2

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

GCF(974,686) x common factors =2 x 1 = 2

LCM(974,686) = ( 974 × 686 ) / 2

LCM(974,686) = 668164 / 2

LCM(974,686) = 334082


Lets's calculate GCF of 25,7210

5 25, 7210
5, 1442

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334082/5

Therefore the LCM of Fractions 974/25,686/7210 is 334082/5

Greatest Common Factor of 25,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,7210 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 25,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 25,7210 is 5.


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 974/25, 686/7210

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 974/25, 686/7210?

Answer: LCM of Numerators as per given numbers 974/25, 686/7210 is

LCM of Numerators i.e. for 974,686 is 334082

GCF of denominators i.e. for 25,7210 is 5.

Thus, LCM of Fractions is 334082/5.Finally, LCM of Fractions for 974/25, 686/7210 is 334082/5.