Least Common Multiple of 753/13, 579/17, 750/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/13, 579/17, 750/349 quickly i.e. 36332250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/13, 579/17, 750/349 is 36332250.

LCM(753/13, 579/17, 750/349) = 36332250

LCM of 753/13, 579/17, 750/349

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 753/13,579/17,750/349

Given numbers are 753/13,579/17,750/349

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 753,579,750

Least Common Multiple of Numerators i.e. LCM of 753,579,750 is 36332250.

GCF of Denominators means GCF of 13,17,349 as per the given fractions.

GCF of 13,17,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,579,750

LCM of Fractions 753/13,579/17,750/349 is 36332250

3 753, 579, 750
251, 193, 250

∴ So the LCM of the given numbers is 3 x 251 x 193 x 250 = 36332250

Least Common Multiple of 753,579,750 with GCF Formula

Least Common Multiple of 753,579,750 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 753,579,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,579,750) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(753,579,750) x common factors =3 x 3 = 9

LCM(753,579,750) = ( 753 × 579 × 750 ) / 9

LCM(753,579,750) = 326990250 / 9

LCM(753,579,750) = 36332250


Lets's calculate GCF of 13,17,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36332250/1

Therefore the LCM of Fractions 753/13,579/17,750/349 is 36332250

Greatest Common Factor of 13,17,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,17,349 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 13,17,349 . The biggest common factor number is the GCF number.
So the greatest common factor 13,17,349 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 753/13, 579/17, 750/349

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 753/13, 579/17, 750/349?

Answer: LCM of Numerators as per given numbers 753/13, 579/17, 750/349 is

LCM of Numerators i.e. for 753,579,750 is 36332250

GCF of denominators i.e. for 13,17,349 is 1.

Thus, LCM of Fractions is 36332250.Finally, LCM of Fractions for 753/13, 579/17, 750/349 is 36332250.