Least Common Multiple of 11/247, 44/973, 709/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/247, 44/973, 709/516 quickly i.e. 31196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/247, 44/973, 709/516 is 31196.

LCM(11/247, 44/973, 709/516) = 31196

LCM of 11/247, 44/973, 709/516

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 11/247,44/973,709/516

Given numbers are 11/247,44/973,709/516

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 11,44,709

Least Common Multiple of Numerators i.e. LCM of 11,44,709 is 31196.

GCF of Denominators means GCF of 247,973,516 as per the given fractions.

GCF of 247,973,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,44,709

LCM of Fractions 11/247,44/973,709/516 is 31196

11 11, 44, 709
1, 4, 709

∴ So the LCM of the given numbers is 11 x 1 x 4 x 709 = 31196

Least Common Multiple of 11,44,709 with GCF Formula

Least Common Multiple of 11,44,709 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 11,44,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,44,709) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,44,709) x common factors =1 x 11 = 11

LCM(11,44,709) = ( 11 × 44 × 709 ) / 11

LCM(11,44,709) = 343156 / 11

LCM(11,44,709) = 31196


Lets's calculate GCF of 247,973,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31196/1

Therefore the LCM of Fractions 11/247,44/973,709/516 is 31196

Greatest Common Factor of 247,973,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,973,516 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 247,973,516 . The biggest common factor number is the GCF number.
So the greatest common factor 247,973,516 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 11/247, 44/973, 709/516

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 11/247, 44/973, 709/516?

Answer: LCM of Numerators as per given numbers 11/247, 44/973, 709/516 is

LCM of Numerators i.e. for 11,44,709 is 31196

GCF of denominators i.e. for 247,973,516 is 1.

Thus, LCM of Fractions is 31196.Finally, LCM of Fractions for 11/247, 44/973, 709/516 is 31196.