Least Common Multiple of 7584/921, 8168/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7584/921, 8168/957 quickly i.e. 2581088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7584/921, 8168/957 is 2581088.

LCM(7584/921, 8168/957) = 2581088

LCM of 7584/921, 8168/957

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 7584/921,8168/957

Given numbers are 7584/921,8168/957

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 7584,8168

Least Common Multiple of Numerators i.e. LCM of 7584,8168 is 7743264.

GCF of Denominators means GCF of 921,957 as per the given fractions.

GCF of 921,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7584,8168

LCM of Fractions 7584/921,8168/957 is 2581088

2 7584, 8168
2 3792, 4084
2 1896, 2042
948, 1021

∴ So the LCM of the given numbers is 2 x 2 x 2 x 948 x 1021 = 7743264

Least Common Multiple of 7584,8168 with GCF Formula

Least Common Multiple of 7584,8168 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 7584,8168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7584,8168) = 8

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

GCF(7584,8168) x common factors =8 x 1 = 8

LCM(7584,8168) = ( 7584 × 8168 ) / 8

LCM(7584,8168) = 61946112 / 8

LCM(7584,8168) = 7743264


Lets's calculate GCF of 921,957

3 921, 957
307, 319

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7743264/3

Therefore the LCM of Fractions 7584/921,8168/957 is 2581088

Greatest Common Factor of 921,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,957 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 921,957 . The biggest common factor number is the GCF number.
So the greatest common factor 921,957 is 3.


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 7584/921, 8168/957

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 7584/921, 8168/957?

Answer: LCM of Numerators as per given numbers 7584/921, 8168/957 is

LCM of Numerators i.e. for 7584,8168 is 7743264

GCF of denominators i.e. for 921,957 is 3.

Thus, LCM of Fractions is 2581088.Finally, LCM of Fractions for 7584/921, 8168/957 is 2581088.