Least Common Multiple of 1177/420, 6524/9541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1177/420, 6524/9541 quickly i.e. 1096964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1177/420, 6524/9541 is 1096964.

LCM(1177/420, 6524/9541) = 1096964

LCM of 1177/420, 6524/9541

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 1177/420,6524/9541

Given numbers are 1177/420,6524/9541

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 1177,6524

Least Common Multiple of Numerators i.e. LCM of 1177,6524 is 7678748.

GCF of Denominators means GCF of 420,9541 as per the given fractions.

GCF of 420,9541 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1177,6524

LCM of Fractions 1177/420,6524/9541 is 1096964

Given numbers has no common factors except 1. So, there LCM is their product i.e 7678748

Least Common Multiple of 1177,6524 with GCF Formula

Least Common Multiple of 1177,6524 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 1177,6524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1177,6524) = 1

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

GCF(1177,6524) x common factors =1 x 1 = 1

LCM(1177,6524) = ( 1177 × 6524 ) / 1

LCM(1177,6524) = 7678748 / 1

LCM(1177,6524) = 7678748


Lets's calculate GCF of 420,9541

7 420, 9541
60, 1363

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7678748/7

Therefore the LCM of Fractions 1177/420,6524/9541 is 1096964

Greatest Common Factor of 420,9541 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,9541 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1,7,29,47,203,329,1363,9541

Greatest Common Factor

We found the factors 420,9541 . The biggest common factor number is the GCF number.
So the greatest common factor 420,9541 is 7.


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 1177/420, 6524/9541

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 1177/420, 6524/9541?

Answer: LCM of Numerators as per given numbers 1177/420, 6524/9541 is

LCM of Numerators i.e. for 1177,6524 is 7678748

GCF of denominators i.e. for 420,9541 is 7.

Thus, LCM of Fractions is 1096964.Finally, LCM of Fractions for 1177/420, 6524/9541 is 1096964.