Least Common Multiple of 520/84, 744/9421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/84, 744/9421 quickly i.e. 48360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/84, 744/9421 is 48360.

LCM(520/84, 744/9421) = 48360

LCM of 520/84, 744/9421

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 520/84,744/9421

Given numbers are 520/84,744/9421

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 520,744

Least Common Multiple of Numerators i.e. LCM of 520,744 is 48360.

GCF of Denominators means GCF of 84,9421 as per the given fractions.

GCF of 84,9421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,744

LCM of Fractions 520/84,744/9421 is 48360

2 520, 744
2 260, 372
2 130, 186
65, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 93 = 48360

Least Common Multiple of 520,744 with GCF Formula

Least Common Multiple of 520,744 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 520,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,744) = 8

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

GCF(520,744) x common factors =8 x 1 = 8

LCM(520,744) = ( 520 × 744 ) / 8

LCM(520,744) = 386880 / 8

LCM(520,744) = 48360


Lets's calculate GCF of 84,9421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48360/1

Therefore the LCM of Fractions 520/84,744/9421 is 48360

Greatest Common Factor of 84,9421 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,9421 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 9421

List of positive integer factors of 9421 that divides 9421 without a remainder.

1,9421

Greatest Common Factor

We found the factors 84,9421 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9421 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 520/84, 744/9421

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 520/84, 744/9421?

Answer: LCM of Numerators as per given numbers 520/84, 744/9421 is

LCM of Numerators i.e. for 520,744 is 48360

GCF of denominators i.e. for 84,9421 is 1.

Thus, LCM of Fractions is 48360.Finally, LCM of Fractions for 520/84, 744/9421 is 48360.