Least Common Multiple of 5374/62, 6136/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5374/62, 6136/115 quickly i.e. 16487432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5374/62, 6136/115 is 16487432.

LCM(5374/62, 6136/115) = 16487432

LCM of 5374/62, 6136/115

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 5374/62,6136/115

Given numbers are 5374/62,6136/115

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 5374,6136

Least Common Multiple of Numerators i.e. LCM of 5374,6136 is 16487432.

GCF of Denominators means GCF of 62,115 as per the given fractions.

GCF of 62,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5374,6136

LCM of Fractions 5374/62,6136/115 is 16487432

2 5374, 6136
2687, 3068

∴ So the LCM of the given numbers is 2 x 2687 x 3068 = 16487432

Least Common Multiple of 5374,6136 with GCF Formula

Least Common Multiple of 5374,6136 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 5374,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5374,6136) = 2

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

GCF(5374,6136) x common factors =2 x 1 = 2

LCM(5374,6136) = ( 5374 × 6136 ) / 2

LCM(5374,6136) = 32974864 / 2

LCM(5374,6136) = 16487432


Lets's calculate GCF of 62,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16487432/1

Therefore the LCM of Fractions 5374/62,6136/115 is 16487432

Greatest Common Factor of 62,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,115 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 62,115 . The biggest common factor number is the GCF number.
So the greatest common factor 62,115 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5374/62, 6136/115

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 5374/62, 6136/115?

Answer: LCM of Numerators as per given numbers 5374/62, 6136/115 is

LCM of Numerators i.e. for 5374,6136 is 16487432

GCF of denominators i.e. for 62,115 is 1.

Thus, LCM of Fractions is 16487432.Finally, LCM of Fractions for 5374/62, 6136/115 is 16487432.