Least Common Multiple of 6547/42, 4771/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6547/42, 4771/172 quickly i.e. 31235737/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6547/42, 4771/172 is 31235737/2.

LCM(6547/42, 4771/172) = 31235737/2

LCM of 6547/42, 4771/172

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 6547/42,4771/172

Given numbers are 6547/42,4771/172

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 6547,4771

Least Common Multiple of Numerators i.e. LCM of 6547,4771 is 31235737.

GCF of Denominators means GCF of 42,172 as per the given fractions.

GCF of 42,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6547,4771

LCM of Fractions 6547/42,4771/172 is 31235737/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 31235737

Least Common Multiple of 6547,4771 with GCF Formula

Least Common Multiple of 6547,4771 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 6547,4771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6547,4771) = 1

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

GCF(6547,4771) x common factors =1 x 1 = 1

LCM(6547,4771) = ( 6547 × 4771 ) / 1

LCM(6547,4771) = 31235737 / 1

LCM(6547,4771) = 31235737


Lets's calculate GCF of 42,172

2 42, 172
21, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31235737/2

Therefore the LCM of Fractions 6547/42,4771/172 is 31235737/2

Greatest Common Factor of 42,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,172 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 42,172 . The biggest common factor number is the GCF number.
So the greatest common factor 42,172 is 2.


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 6547/42, 4771/172

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 6547/42, 4771/172?

Answer: LCM of Numerators as per given numbers 6547/42, 4771/172 is

LCM of Numerators i.e. for 6547,4771 is 31235737

GCF of denominators i.e. for 42,172 is 2.

Thus, LCM of Fractions is 31235737/2.Finally, LCM of Fractions for 6547/42, 4771/172 is 31235737/2.