Least Common Multiple of 251/13, 600/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/13, 600/3920 quickly i.e. 150600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/13, 600/3920 is 150600.

LCM(251/13, 600/3920) = 150600

LCM of 251/13, 600/3920

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 251/13,600/3920

Given numbers are 251/13,600/3920

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 251,600

Least Common Multiple of Numerators i.e. LCM of 251,600 is 150600.

GCF of Denominators means GCF of 13,3920 as per the given fractions.

GCF of 13,3920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,600

LCM of Fractions 251/13,600/3920 is 150600

Given numbers has no common factors except 1. So, there LCM is their product i.e 150600

Least Common Multiple of 251,600 with GCF Formula

Least Common Multiple of 251,600 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 251,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,600) = 1

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

GCF(251,600) x common factors =1 x 1 = 1

LCM(251,600) = ( 251 × 600 ) / 1

LCM(251,600) = 150600 / 1

LCM(251,600) = 150600


Lets's calculate GCF of 13,3920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150600/1

Therefore the LCM of Fractions 251/13,600/3920 is 150600

Greatest Common Factor of 13,3920 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,3920 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 13,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 13,3920 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 251/13, 600/3920

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 251/13, 600/3920?

Answer: LCM of Numerators as per given numbers 251/13, 600/3920 is

LCM of Numerators i.e. for 251,600 is 150600

GCF of denominators i.e. for 13,3920 is 1.

Thus, LCM of Fractions is 150600.Finally, LCM of Fractions for 251/13, 600/3920 is 150600.