Least Common Multiple of 7528/832, 1209/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7528/832, 1209/408 quickly i.e. 1137669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7528/832, 1209/408 is 1137669.

LCM(7528/832, 1209/408) = 1137669

LCM of 7528/832, 1209/408

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 7528/832,1209/408

Given numbers are 7528/832,1209/408

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 7528,1209

Least Common Multiple of Numerators i.e. LCM of 7528,1209 is 9101352.

GCF of Denominators means GCF of 832,408 as per the given fractions.

GCF of 832,408 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7528,1209

LCM of Fractions 7528/832,1209/408 is 1137669

Given numbers has no common factors except 1. So, there LCM is their product i.e 9101352

Least Common Multiple of 7528,1209 with GCF Formula

Least Common Multiple of 7528,1209 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 7528,1209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7528,1209) = 1

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

GCF(7528,1209) x common factors =1 x 1 = 1

LCM(7528,1209) = ( 7528 × 1209 ) / 1

LCM(7528,1209) = 9101352 / 1

LCM(7528,1209) = 9101352


Lets's calculate GCF of 832,408

2 832, 408
2 416, 204
2 208, 102
104, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9101352/8

Therefore the LCM of Fractions 7528/832,1209/408 is 1137669

Greatest Common Factor of 832,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,408 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 832,408 . The biggest common factor number is the GCF number.
So the greatest common factor 832,408 is 8.


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 7528/832, 1209/408

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 7528/832, 1209/408?

Answer: LCM of Numerators as per given numbers 7528/832, 1209/408 is

LCM of Numerators i.e. for 7528,1209 is 9101352

GCF of denominators i.e. for 832,408 is 8.

Thus, LCM of Fractions is 1137669.Finally, LCM of Fractions for 7528/832, 1209/408 is 1137669.