Least Common Multiple of 309/54, 508/49, 515/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/54, 508/49, 515/751 quickly i.e. 784860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/54, 508/49, 515/751 is 784860.

LCM(309/54, 508/49, 515/751) = 784860

LCM of 309/54, 508/49, 515/751

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 309/54,508/49,515/751

Given numbers are 309/54,508/49,515/751

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 309,508,515

Least Common Multiple of Numerators i.e. LCM of 309,508,515 is 784860.

GCF of Denominators means GCF of 54,49,751 as per the given fractions.

GCF of 54,49,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,508,515

LCM of Fractions 309/54,508/49,515/751 is 784860

103 309, 508, 515
3, 508, 5

∴ So the LCM of the given numbers is 103 x 3 x 508 x 5 = 784860

Least Common Multiple of 309,508,515 with GCF Formula

Least Common Multiple of 309,508,515 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 309,508,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,508,515) = 1

common factors(in case of two or more numbers have common factors) = 103

GCF(309,508,515) x common factors =1 x 103 = 103

LCM(309,508,515) = ( 309 × 508 × 515 ) / 103

LCM(309,508,515) = 80840580 / 103

LCM(309,508,515) = 784860


Lets's calculate GCF of 54,49,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 784860/1

Therefore the LCM of Fractions 309/54,508/49,515/751 is 784860

Greatest Common Factor of 54,49,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,49,751 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 54,49,751 . The biggest common factor number is the GCF number.
So the greatest common factor 54,49,751 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 309/54, 508/49, 515/751

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 309/54, 508/49, 515/751?

Answer: LCM of Numerators as per given numbers 309/54, 508/49, 515/751 is

LCM of Numerators i.e. for 309,508,515 is 784860

GCF of denominators i.e. for 54,49,751 is 1.

Thus, LCM of Fractions is 784860.Finally, LCM of Fractions for 309/54, 508/49, 515/751 is 784860.