Least Common Multiple of 172/378, 2942/6613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/378, 2942/6613 quickly i.e. 253012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/378, 2942/6613 is 253012.

LCM(172/378, 2942/6613) = 253012

LCM of 172/378, 2942/6613

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 172/378,2942/6613

Given numbers are 172/378,2942/6613

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 172,2942

Least Common Multiple of Numerators i.e. LCM of 172,2942 is 253012.

GCF of Denominators means GCF of 378,6613 as per the given fractions.

GCF of 378,6613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,2942

LCM of Fractions 172/378,2942/6613 is 253012

2 172, 2942
86, 1471

∴ So the LCM of the given numbers is 2 x 86 x 1471 = 253012

Least Common Multiple of 172,2942 with GCF Formula

Least Common Multiple of 172,2942 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 172,2942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,2942) = 2

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

GCF(172,2942) x common factors =2 x 1 = 2

LCM(172,2942) = ( 172 × 2942 ) / 2

LCM(172,2942) = 506024 / 2

LCM(172,2942) = 253012


Lets's calculate GCF of 378,6613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253012/1

Therefore the LCM of Fractions 172/378,2942/6613 is 253012

Greatest Common Factor of 378,6613 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,6613 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 6613

List of positive integer factors of 6613 that divides 6613 without a remainder.

1,17,389,6613

Greatest Common Factor

We found the factors 378,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 378,6613 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 172/378, 2942/6613

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 172/378, 2942/6613?

Answer: LCM of Numerators as per given numbers 172/378, 2942/6613 is

LCM of Numerators i.e. for 172,2942 is 253012

GCF of denominators i.e. for 378,6613 is 1.

Thus, LCM of Fractions is 253012.Finally, LCM of Fractions for 172/378, 2942/6613 is 253012.