Least Common Multiple of 7424/870, 2342/5484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7424/870, 2342/5484 quickly i.e. 8693504/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7424/870, 2342/5484 is 8693504/6.

LCM(7424/870, 2342/5484) = 8693504/6

LCM of 7424/870, 2342/5484

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 7424/870,2342/5484

Given numbers are 7424/870,2342/5484

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 7424,2342

Least Common Multiple of Numerators i.e. LCM of 7424,2342 is 8693504.

GCF of Denominators means GCF of 870,5484 as per the given fractions.

GCF of 870,5484 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7424,2342

LCM of Fractions 7424/870,2342/5484 is 8693504/6

2 7424, 2342
3712, 1171

∴ So the LCM of the given numbers is 2 x 3712 x 1171 = 8693504

Least Common Multiple of 7424,2342 with GCF Formula

Least Common Multiple of 7424,2342 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 7424,2342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7424,2342) = 2

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

GCF(7424,2342) x common factors =2 x 1 = 2

LCM(7424,2342) = ( 7424 × 2342 ) / 2

LCM(7424,2342) = 17387008 / 2

LCM(7424,2342) = 8693504


Lets's calculate GCF of 870,5484

2 870, 5484
3 435, 2742
145, 914

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8693504/6

Therefore the LCM of Fractions 7424/870,2342/5484 is 8693504/6

Greatest Common Factor of 870,5484 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,5484 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1,2,3,4,6,12,457,914,1371,1828,2742,5484

Greatest Common Factor

We found the factors 870,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 870,5484 is 6.


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 7424/870, 2342/5484

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 7424/870, 2342/5484?

Answer: LCM of Numerators as per given numbers 7424/870, 2342/5484 is

LCM of Numerators i.e. for 7424,2342 is 8693504

GCF of denominators i.e. for 870,5484 is 6.

Thus, LCM of Fractions is 8693504/6.Finally, LCM of Fractions for 7424/870, 2342/5484 is 8693504/6.