Least Common Multiple of 7364/295, 8244/8838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7364/295, 8244/8838 quickly i.e. 15177204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7364/295, 8244/8838 is 15177204.

LCM(7364/295, 8244/8838) = 15177204

LCM of 7364/295, 8244/8838

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 7364/295,8244/8838

Given numbers are 7364/295,8244/8838

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 7364,8244

Least Common Multiple of Numerators i.e. LCM of 7364,8244 is 15177204.

GCF of Denominators means GCF of 295,8838 as per the given fractions.

GCF of 295,8838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7364,8244

LCM of Fractions 7364/295,8244/8838 is 15177204

2 7364, 8244
2 3682, 4122
1841, 2061

∴ So the LCM of the given numbers is 2 x 2 x 1841 x 2061 = 15177204

Least Common Multiple of 7364,8244 with GCF Formula

Least Common Multiple of 7364,8244 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 7364,8244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7364,8244) = 4

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

GCF(7364,8244) x common factors =4 x 1 = 4

LCM(7364,8244) = ( 7364 × 8244 ) / 4

LCM(7364,8244) = 60708816 / 4

LCM(7364,8244) = 15177204


Lets's calculate GCF of 295,8838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15177204/1

Therefore the LCM of Fractions 7364/295,8244/8838 is 15177204

Greatest Common Factor of 295,8838 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,8838 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 8838

List of positive integer factors of 8838 that divides 8838 without a remainder.

1,2,3,6,9,18,491,982,1473,2946,4419,8838

Greatest Common Factor

We found the factors 295,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 295,8838 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7364/295, 8244/8838

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 7364/295, 8244/8838?

Answer: LCM of Numerators as per given numbers 7364/295, 8244/8838 is

LCM of Numerators i.e. for 7364,8244 is 15177204

GCF of denominators i.e. for 295,8838 is 1.

Thus, LCM of Fractions is 15177204.Finally, LCM of Fractions for 7364/295, 8244/8838 is 15177204.