Least Common Multiple of 47/719, 15/949, 756/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/719, 15/949, 756/537 quickly i.e. 177660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/719, 15/949, 756/537 is 177660.

LCM(47/719, 15/949, 756/537) = 177660

LCM of 47/719, 15/949, 756/537

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 47/719,15/949,756/537

Given numbers are 47/719,15/949,756/537

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 47,15,756

Least Common Multiple of Numerators i.e. LCM of 47,15,756 is 177660.

GCF of Denominators means GCF of 719,949,537 as per the given fractions.

GCF of 719,949,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,15,756

LCM of Fractions 47/719,15/949,756/537 is 177660

3 47, 15, 756
47, 5, 252

∴ So the LCM of the given numbers is 3 x 47 x 5 x 252 = 177660

Least Common Multiple of 47,15,756 with GCF Formula

Least Common Multiple of 47,15,756 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 47,15,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,15,756) = 1

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

GCF(47,15,756) x common factors =1 x 3 = 3

LCM(47,15,756) = ( 47 × 15 × 756 ) / 3

LCM(47,15,756) = 532980 / 3

LCM(47,15,756) = 177660


Lets's calculate GCF of 719,949,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177660/1

Therefore the LCM of Fractions 47/719,15/949,756/537 is 177660

Greatest Common Factor of 719,949,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,949,537 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 719,949,537 . The biggest common factor number is the GCF number.
So the greatest common factor 719,949,537 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 47/719, 15/949, 756/537

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 47/719, 15/949, 756/537?

Answer: LCM of Numerators as per given numbers 47/719, 15/949, 756/537 is

LCM of Numerators i.e. for 47,15,756 is 177660

GCF of denominators i.e. for 719,949,537 is 1.

Thus, LCM of Fractions is 177660.Finally, LCM of Fractions for 47/719, 15/949, 756/537 is 177660.