Least Common Multiple of 273/172, 6177/6350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/172, 6177/6350 quickly i.e. 562107/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/172, 6177/6350 is 562107/2.

LCM(273/172, 6177/6350) = 562107/2

LCM of 273/172, 6177/6350

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 273/172,6177/6350

Given numbers are 273/172,6177/6350

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 273,6177

Least Common Multiple of Numerators i.e. LCM of 273,6177 is 562107.

GCF of Denominators means GCF of 172,6350 as per the given fractions.

GCF of 172,6350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,6177

LCM of Fractions 273/172,6177/6350 is 562107/2

3 273, 6177
91, 2059

∴ So the LCM of the given numbers is 3 x 91 x 2059 = 562107

Least Common Multiple of 273,6177 with GCF Formula

Least Common Multiple of 273,6177 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 273,6177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,6177) = 3

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

GCF(273,6177) x common factors =3 x 1 = 3

LCM(273,6177) = ( 273 × 6177 ) / 3

LCM(273,6177) = 1686321 / 3

LCM(273,6177) = 562107


Lets's calculate GCF of 172,6350

2 172, 6350
86, 3175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562107/2

Therefore the LCM of Fractions 273/172,6177/6350 is 562107/2

Greatest Common Factor of 172,6350 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,6350 By Matching Biggest Common Factor Method

Factors of 172

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

1,2,4,43,86,172

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Greatest Common Factor

We found the factors 172,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 172,6350 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 273/172, 6177/6350

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 273/172, 6177/6350?

Answer: LCM of Numerators as per given numbers 273/172, 6177/6350 is

LCM of Numerators i.e. for 273,6177 is 562107

GCF of denominators i.e. for 172,6350 is 2.

Thus, LCM of Fractions is 562107/2.Finally, LCM of Fractions for 273/172, 6177/6350 is 562107/2.