Least Common Multiple of 368/725, 5055/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/725, 5055/678 quickly i.e. 1860240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/725, 5055/678 is 1860240.

LCM(368/725, 5055/678) = 1860240

LCM of 368/725, 5055/678

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 368/725,5055/678

Given numbers are 368/725,5055/678

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 368,5055

Least Common Multiple of Numerators i.e. LCM of 368,5055 is 1860240.

GCF of Denominators means GCF of 725,678 as per the given fractions.

GCF of 725,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,5055

LCM of Fractions 368/725,5055/678 is 1860240

Given numbers has no common factors except 1. So, there LCM is their product i.e 1860240

Least Common Multiple of 368,5055 with GCF Formula

Least Common Multiple of 368,5055 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 368,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,5055) = 1

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

GCF(368,5055) x common factors =1 x 1 = 1

LCM(368,5055) = ( 368 × 5055 ) / 1

LCM(368,5055) = 1860240 / 1

LCM(368,5055) = 1860240


Lets's calculate GCF of 725,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1860240/1

Therefore the LCM of Fractions 368/725,5055/678 is 1860240

Greatest Common Factor of 725,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,678 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 725,678 . The biggest common factor number is the GCF number.
So the greatest common factor 725,678 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 368/725, 5055/678

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 368/725, 5055/678?

Answer: LCM of Numerators as per given numbers 368/725, 5055/678 is

LCM of Numerators i.e. for 368,5055 is 1860240

GCF of denominators i.e. for 725,678 is 1.

Thus, LCM of Fractions is 1860240.Finally, LCM of Fractions for 368/725, 5055/678 is 1860240.