Least Common Multiple of 9436/892, 7038/6547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9436/892, 7038/6547 quickly i.e. 33205284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9436/892, 7038/6547 is 33205284.

LCM(9436/892, 7038/6547) = 33205284

LCM of 9436/892, 7038/6547

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 9436/892,7038/6547

Given numbers are 9436/892,7038/6547

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 9436,7038

Least Common Multiple of Numerators i.e. LCM of 9436,7038 is 33205284.

GCF of Denominators means GCF of 892,6547 as per the given fractions.

GCF of 892,6547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9436,7038

LCM of Fractions 9436/892,7038/6547 is 33205284

2 9436, 7038
4718, 3519

∴ So the LCM of the given numbers is 2 x 4718 x 3519 = 33205284

Least Common Multiple of 9436,7038 with GCF Formula

Least Common Multiple of 9436,7038 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 9436,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9436,7038) = 2

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

GCF(9436,7038) x common factors =2 x 1 = 2

LCM(9436,7038) = ( 9436 × 7038 ) / 2

LCM(9436,7038) = 66410568 / 2

LCM(9436,7038) = 33205284


Lets's calculate GCF of 892,6547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33205284/1

Therefore the LCM of Fractions 9436/892,7038/6547 is 33205284

Greatest Common Factor of 892,6547 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,6547 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1,6547

Greatest Common Factor

We found the factors 892,6547 . The biggest common factor number is the GCF number.
So the greatest common factor 892,6547 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 9436/892, 7038/6547

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 9436/892, 7038/6547?

Answer: LCM of Numerators as per given numbers 9436/892, 7038/6547 is

LCM of Numerators i.e. for 9436,7038 is 33205284

GCF of denominators i.e. for 892,6547 is 1.

Thus, LCM of Fractions is 33205284.Finally, LCM of Fractions for 9436/892, 7038/6547 is 33205284.