Least Common Multiple of 5715/78, 5298/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5715/78, 5298/152 quickly i.e. 5046345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5715/78, 5298/152 is 5046345.

LCM(5715/78, 5298/152) = 5046345

LCM of 5715/78, 5298/152

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 5715/78,5298/152

Given numbers are 5715/78,5298/152

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 5715,5298

Least Common Multiple of Numerators i.e. LCM of 5715,5298 is 10092690.

GCF of Denominators means GCF of 78,152 as per the given fractions.

GCF of 78,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5715,5298

LCM of Fractions 5715/78,5298/152 is 5046345

3 5715, 5298
1905, 1766

∴ So the LCM of the given numbers is 3 x 1905 x 1766 = 10092690

Least Common Multiple of 5715,5298 with GCF Formula

Least Common Multiple of 5715,5298 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 5715,5298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5715,5298) = 3

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

GCF(5715,5298) x common factors =3 x 1 = 3

LCM(5715,5298) = ( 5715 × 5298 ) / 3

LCM(5715,5298) = 30278070 / 3

LCM(5715,5298) = 10092690


Lets's calculate GCF of 78,152

2 78, 152
39, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10092690/2

Therefore the LCM of Fractions 5715/78,5298/152 is 5046345

Greatest Common Factor of 78,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,152 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 78,152 . The biggest common factor number is the GCF number.
So the greatest common factor 78,152 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 5715/78, 5298/152

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 5715/78, 5298/152?

Answer: LCM of Numerators as per given numbers 5715/78, 5298/152 is

LCM of Numerators i.e. for 5715,5298 is 10092690

GCF of denominators i.e. for 78,152 is 2.

Thus, LCM of Fractions is 5046345.Finally, LCM of Fractions for 5715/78, 5298/152 is 5046345.