Least Common Multiple of 5415/520, 7826/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5415/520, 7826/796 quickly i.e. 42377790/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5415/520, 7826/796 is 42377790/4.

LCM(5415/520, 7826/796) = 42377790/4

LCM of 5415/520, 7826/796

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 5415/520,7826/796

Given numbers are 5415/520,7826/796

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 5415,7826

Least Common Multiple of Numerators i.e. LCM of 5415,7826 is 42377790.

GCF of Denominators means GCF of 520,796 as per the given fractions.

GCF of 520,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5415,7826

LCM of Fractions 5415/520,7826/796 is 42377790/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 42377790

Least Common Multiple of 5415,7826 with GCF Formula

Least Common Multiple of 5415,7826 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 5415,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5415,7826) = 1

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

GCF(5415,7826) x common factors =1 x 1 = 1

LCM(5415,7826) = ( 5415 × 7826 ) / 1

LCM(5415,7826) = 42377790 / 1

LCM(5415,7826) = 42377790


Lets's calculate GCF of 520,796

2 520, 796
2 260, 398
130, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42377790/4

Therefore the LCM of Fractions 5415/520,7826/796 is 42377790/4

Greatest Common Factor of 520,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,796 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 520,796 . The biggest common factor number is the GCF number.
So the greatest common factor 520,796 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 5415/520, 7826/796

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 5415/520, 7826/796?

Answer: LCM of Numerators as per given numbers 5415/520, 7826/796 is

LCM of Numerators i.e. for 5415,7826 is 42377790

GCF of denominators i.e. for 520,796 is 4.

Thus, LCM of Fractions is 42377790/4.Finally, LCM of Fractions for 5415/520, 7826/796 is 42377790/4.