Least Common Multiple of 310/40, 5259/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/40, 5259/755 quickly i.e. 326058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/40, 5259/755 is 326058.

LCM(310/40, 5259/755) = 326058

LCM of 310/40, 5259/755

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 310/40,5259/755

Given numbers are 310/40,5259/755

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 310,5259

Least Common Multiple of Numerators i.e. LCM of 310,5259 is 1630290.

GCF of Denominators means GCF of 40,755 as per the given fractions.

GCF of 40,755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,5259

LCM of Fractions 310/40,5259/755 is 326058

Given numbers has no common factors except 1. So, there LCM is their product i.e 1630290

Least Common Multiple of 310,5259 with GCF Formula

Least Common Multiple of 310,5259 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 310,5259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,5259) = 1

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

GCF(310,5259) x common factors =1 x 1 = 1

LCM(310,5259) = ( 310 × 5259 ) / 1

LCM(310,5259) = 1630290 / 1

LCM(310,5259) = 1630290


Lets's calculate GCF of 40,755

5 40, 755
8, 151

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1630290/5

Therefore the LCM of Fractions 310/40,5259/755 is 326058

Greatest Common Factor of 40,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,755 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 40,755 . The biggest common factor number is the GCF number.
So the greatest common factor 40,755 is 5.


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 310/40, 5259/755

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 310/40, 5259/755?

Answer: LCM of Numerators as per given numbers 310/40, 5259/755 is

LCM of Numerators i.e. for 310,5259 is 1630290

GCF of denominators i.e. for 40,755 is 5.

Thus, LCM of Fractions is 326058.Finally, LCM of Fractions for 310/40, 5259/755 is 326058.