Least Common Multiple of 378/68, 725/2872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/68, 725/2872 quickly i.e. 274050/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/68, 725/2872 is 274050/4.

LCM(378/68, 725/2872) = 274050/4

LCM of 378/68, 725/2872

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 378/68,725/2872

Given numbers are 378/68,725/2872

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 378,725

Least Common Multiple of Numerators i.e. LCM of 378,725 is 274050.

GCF of Denominators means GCF of 68,2872 as per the given fractions.

GCF of 68,2872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,725

LCM of Fractions 378/68,725/2872 is 274050/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 274050

Least Common Multiple of 378,725 with GCF Formula

Least Common Multiple of 378,725 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 378,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,725) = 1

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

GCF(378,725) x common factors =1 x 1 = 1

LCM(378,725) = ( 378 × 725 ) / 1

LCM(378,725) = 274050 / 1

LCM(378,725) = 274050


Lets's calculate GCF of 68,2872

2 68, 2872
2 34, 1436
17, 718

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274050/4

Therefore the LCM of Fractions 378/68,725/2872 is 274050/4

Greatest Common Factor of 68,2872 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2872 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 68,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2872 is 4.


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 378/68, 725/2872

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 378/68, 725/2872?

Answer: LCM of Numerators as per given numbers 378/68, 725/2872 is

LCM of Numerators i.e. for 378,725 is 274050

GCF of denominators i.e. for 68,2872 is 4.

Thus, LCM of Fractions is 274050/4.Finally, LCM of Fractions for 378/68, 725/2872 is 274050/4.