Least Common Multiple of 501/378, 6160/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/378, 6160/173 quickly i.e. 3086160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/378, 6160/173 is 3086160.

LCM(501/378, 6160/173) = 3086160

LCM of 501/378, 6160/173

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 501/378,6160/173

Given numbers are 501/378,6160/173

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 501,6160

Least Common Multiple of Numerators i.e. LCM of 501,6160 is 3086160.

GCF of Denominators means GCF of 378,173 as per the given fractions.

GCF of 378,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,6160

LCM of Fractions 501/378,6160/173 is 3086160

Given numbers has no common factors except 1. So, there LCM is their product i.e 3086160

Least Common Multiple of 501,6160 with GCF Formula

Least Common Multiple of 501,6160 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 501,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,6160) = 1

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

GCF(501,6160) x common factors =1 x 1 = 1

LCM(501,6160) = ( 501 × 6160 ) / 1

LCM(501,6160) = 3086160 / 1

LCM(501,6160) = 3086160


Lets's calculate GCF of 378,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3086160/1

Therefore the LCM of Fractions 501/378,6160/173 is 3086160

Greatest Common Factor of 378,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,173 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 378,173 . The biggest common factor number is the GCF number.
So the greatest common factor 378,173 is 1.


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 501/378, 6160/173

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 501/378, 6160/173?

Answer: LCM of Numerators as per given numbers 501/378, 6160/173 is

LCM of Numerators i.e. for 501,6160 is 3086160

GCF of denominators i.e. for 378,173 is 1.

Thus, LCM of Fractions is 3086160.Finally, LCM of Fractions for 501/378, 6160/173 is 3086160.