Least Common Multiple of 5152/126, 6893/4360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5152/126, 6893/4360 quickly i.e. 17756368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5152/126, 6893/4360 is 17756368.

LCM(5152/126, 6893/4360) = 17756368

LCM of 5152/126, 6893/4360

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 5152/126,6893/4360

Given numbers are 5152/126,6893/4360

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 5152,6893

Least Common Multiple of Numerators i.e. LCM of 5152,6893 is 35512736.

GCF of Denominators means GCF of 126,4360 as per the given fractions.

GCF of 126,4360 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5152,6893

LCM of Fractions 5152/126,6893/4360 is 17756368

Given numbers has no common factors except 1. So, there LCM is their product i.e 35512736

Least Common Multiple of 5152,6893 with GCF Formula

Least Common Multiple of 5152,6893 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 5152,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5152,6893) = 1

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

GCF(5152,6893) x common factors =1 x 1 = 1

LCM(5152,6893) = ( 5152 × 6893 ) / 1

LCM(5152,6893) = 35512736 / 1

LCM(5152,6893) = 35512736


Lets's calculate GCF of 126,4360

2 126, 4360
63, 2180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35512736/2

Therefore the LCM of Fractions 5152/126,6893/4360 is 17756368

Greatest Common Factor of 126,4360 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,4360 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360

Greatest Common Factor

We found the factors 126,4360 . The biggest common factor number is the GCF number.
So the greatest common factor 126,4360 is 2.


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 5152/126, 6893/4360

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 5152/126, 6893/4360?

Answer: LCM of Numerators as per given numbers 5152/126, 6893/4360 is

LCM of Numerators i.e. for 5152,6893 is 35512736

GCF of denominators i.e. for 126,4360 is 2.

Thus, LCM of Fractions is 17756368.Finally, LCM of Fractions for 5152/126, 6893/4360 is 17756368.