Least Common Multiple of 654/825, 4157/9328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/825, 4157/9328 quickly i.e. 2718678/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/825, 4157/9328 is 2718678/11.

LCM(654/825, 4157/9328) = 2718678/11

LCM of 654/825, 4157/9328

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 654/825,4157/9328

Given numbers are 654/825,4157/9328

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 654,4157

Least Common Multiple of Numerators i.e. LCM of 654,4157 is 2718678.

GCF of Denominators means GCF of 825,9328 as per the given fractions.

GCF of 825,9328 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,4157

LCM of Fractions 654/825,4157/9328 is 2718678/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2718678

Least Common Multiple of 654,4157 with GCF Formula

Least Common Multiple of 654,4157 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 654,4157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,4157) = 1

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

GCF(654,4157) x common factors =1 x 1 = 1

LCM(654,4157) = ( 654 × 4157 ) / 1

LCM(654,4157) = 2718678 / 1

LCM(654,4157) = 2718678


Lets's calculate GCF of 825,9328

11 825, 9328
75, 848

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2718678/11

Therefore the LCM of Fractions 654/825,4157/9328 is 2718678/11

Greatest Common Factor of 825,9328 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,9328 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors 825,9328 . The biggest common factor number is the GCF number.
So the greatest common factor 825,9328 is 11.


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 654/825, 4157/9328

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 654/825, 4157/9328?

Answer: LCM of Numerators as per given numbers 654/825, 4157/9328 is

LCM of Numerators i.e. for 654,4157 is 2718678

GCF of denominators i.e. for 825,9328 is 11.

Thus, LCM of Fractions is 2718678/11.Finally, LCM of Fractions for 654/825, 4157/9328 is 2718678/11.