Least Common Multiple of 971/454, 528/425, 114/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/454, 528/425, 114/249 quickly i.e. 9741072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/454, 528/425, 114/249 is 9741072.

LCM(971/454, 528/425, 114/249) = 9741072

LCM of 971/454, 528/425, 114/249

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 971/454,528/425,114/249

Given numbers are 971/454,528/425,114/249

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 971,528,114

Least Common Multiple of Numerators i.e. LCM of 971,528,114 is 9741072.

GCF of Denominators means GCF of 454,425,249 as per the given fractions.

GCF of 454,425,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,528,114

LCM of Fractions 971/454,528/425,114/249 is 9741072

2 971, 528, 114
3 971, 264, 57
971, 88, 19

∴ So the LCM of the given numbers is 2 x 3 x 971 x 88 x 19 = 9741072

Least Common Multiple of 971,528,114 with GCF Formula

Least Common Multiple of 971,528,114 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 971,528,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,528,114) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(971,528,114) x common factors =1 x 6 = 6

LCM(971,528,114) = ( 971 × 528 × 114 ) / 6

LCM(971,528,114) = 58446432 / 6

LCM(971,528,114) = 9741072


Lets's calculate GCF of 454,425,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9741072/1

Therefore the LCM of Fractions 971/454,528/425,114/249 is 9741072

Greatest Common Factor of 454,425,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,425,249 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 454,425,249 . The biggest common factor number is the GCF number.
So the greatest common factor 454,425,249 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 971/454, 528/425, 114/249

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 971/454, 528/425, 114/249?

Answer: LCM of Numerators as per given numbers 971/454, 528/425, 114/249 is

LCM of Numerators i.e. for 971,528,114 is 9741072

GCF of denominators i.e. for 454,425,249 is 1.

Thus, LCM of Fractions is 9741072.Finally, LCM of Fractions for 971/454, 528/425, 114/249 is 9741072.