Least Common Multiple of 9422/40, 7434/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9422/40, 7434/520 quickly i.e. 5003082/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9422/40, 7434/520 is 5003082/40.

LCM(9422/40, 7434/520) = 5003082/40

LCM of 9422/40, 7434/520

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 9422/40,7434/520

Given numbers are 9422/40,7434/520

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 9422,7434

Least Common Multiple of Numerators i.e. LCM of 9422,7434 is 5003082.

GCF of Denominators means GCF of 40,520 as per the given fractions.

GCF of 40,520 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9422,7434

LCM of Fractions 9422/40,7434/520 is 5003082/40

2 9422, 7434
7 4711, 3717
673, 531

∴ So the LCM of the given numbers is 2 x 7 x 673 x 531 = 5003082

Least Common Multiple of 9422,7434 with GCF Formula

Least Common Multiple of 9422,7434 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 9422,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9422,7434) = 14

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

GCF(9422,7434) x common factors =14 x 1 = 14

LCM(9422,7434) = ( 9422 × 7434 ) / 14

LCM(9422,7434) = 70043148 / 14

LCM(9422,7434) = 5003082


Lets's calculate GCF of 40,520

2 40, 520
2 20, 260
2 10, 130
5 5, 65
1, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5003082/40

Therefore the LCM of Fractions 9422/40,7434/520 is 5003082/40

Greatest Common Factor of 40,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,520 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 40,520 . The biggest common factor number is the GCF number.
So the greatest common factor 40,520 is 40.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9422/40, 7434/520

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 9422/40, 7434/520?

Answer: LCM of Numerators as per given numbers 9422/40, 7434/520 is

LCM of Numerators i.e. for 9422,7434 is 5003082

GCF of denominators i.e. for 40,520 is 40.

Thus, LCM of Fractions is 5003082/40.Finally, LCM of Fractions for 9422/40, 7434/520 is 5003082/40.