Least Common Multiple of 250/378, 896/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/378, 896/107 quickly i.e. 112000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/378, 896/107 is 112000.

LCM(250/378, 896/107) = 112000

LCM of 250/378, 896/107

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 250/378,896/107

Given numbers are 250/378,896/107

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 250,896

Least Common Multiple of Numerators i.e. LCM of 250,896 is 112000.

GCF of Denominators means GCF of 378,107 as per the given fractions.

GCF of 378,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,896

LCM of Fractions 250/378,896/107 is 112000

2 250, 896
125, 448

∴ So the LCM of the given numbers is 2 x 125 x 448 = 112000

Least Common Multiple of 250,896 with GCF Formula

Least Common Multiple of 250,896 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 250,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,896) = 2

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

GCF(250,896) x common factors =2 x 1 = 2

LCM(250,896) = ( 250 × 896 ) / 2

LCM(250,896) = 224000 / 2

LCM(250,896) = 112000


Lets's calculate GCF of 378,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112000/1

Therefore the LCM of Fractions 250/378,896/107 is 112000

Greatest Common Factor of 378,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,107 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 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 378,107 . The biggest common factor number is the GCF number.
So the greatest common factor 378,107 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 250/378, 896/107

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 250/378, 896/107?

Answer: LCM of Numerators as per given numbers 250/378, 896/107 is

LCM of Numerators i.e. for 250,896 is 112000

GCF of denominators i.e. for 378,107 is 1.

Thus, LCM of Fractions is 112000.Finally, LCM of Fractions for 250/378, 896/107 is 112000.