Least Common Multiple of 4797/58, 6537/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4797/58, 6537/118 quickly i.e. 10452663/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4797/58, 6537/118 is 10452663/2.

LCM(4797/58, 6537/118) = 10452663/2

LCM of 4797/58, 6537/118

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 4797/58,6537/118

Given numbers are 4797/58,6537/118

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 4797,6537

Least Common Multiple of Numerators i.e. LCM of 4797,6537 is 10452663.

GCF of Denominators means GCF of 58,118 as per the given fractions.

GCF of 58,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4797,6537

LCM of Fractions 4797/58,6537/118 is 10452663/2

3 4797, 6537
1599, 2179

∴ So the LCM of the given numbers is 3 x 1599 x 2179 = 10452663

Least Common Multiple of 4797,6537 with GCF Formula

Least Common Multiple of 4797,6537 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 4797,6537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4797,6537) = 3

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

GCF(4797,6537) x common factors =3 x 1 = 3

LCM(4797,6537) = ( 4797 × 6537 ) / 3

LCM(4797,6537) = 31357989 / 3

LCM(4797,6537) = 10452663


Lets's calculate GCF of 58,118

2 58, 118
29, 59

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10452663/2

Therefore the LCM of Fractions 4797/58,6537/118 is 10452663/2

Greatest Common Factor of 58,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,118 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 58,118 . The biggest common factor number is the GCF number.
So the greatest common factor 58,118 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4797/58, 6537/118

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 4797/58, 6537/118?

Answer: LCM of Numerators as per given numbers 4797/58, 6537/118 is

LCM of Numerators i.e. for 4797,6537 is 10452663

GCF of denominators i.e. for 58,118 is 2.

Thus, LCM of Fractions is 10452663/2.Finally, LCM of Fractions for 4797/58, 6537/118 is 10452663/2.