Least Common Multiple of 577/23, 648/70, 711/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/23, 648/70, 711/844 quickly i.e. 29537784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/23, 648/70, 711/844 is 29537784.

LCM(577/23, 648/70, 711/844) = 29537784

LCM of 577/23, 648/70, 711/844

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 577/23,648/70,711/844

Given numbers are 577/23,648/70,711/844

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 577,648,711

Least Common Multiple of Numerators i.e. LCM of 577,648,711 is 29537784.

GCF of Denominators means GCF of 23,70,844 as per the given fractions.

GCF of 23,70,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,648,711

LCM of Fractions 577/23,648/70,711/844 is 29537784

3 577, 648, 711
3 577, 216, 237
577, 72, 79

∴ So the LCM of the given numbers is 3 x 3 x 577 x 72 x 79 = 29537784

Least Common Multiple of 577,648,711 with GCF Formula

Least Common Multiple of 577,648,711 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 577,648,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,648,711) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(577,648,711) x common factors =1 x 9 = 9

LCM(577,648,711) = ( 577 × 648 × 711 ) / 9

LCM(577,648,711) = 265840056 / 9

LCM(577,648,711) = 29537784


Lets's calculate GCF of 23,70,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29537784/1

Therefore the LCM of Fractions 577/23,648/70,711/844 is 29537784

Greatest Common Factor of 23,70,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,70,844 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 23,70,844 . The biggest common factor number is the GCF number.
So the greatest common factor 23,70,844 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 577/23, 648/70, 711/844

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 577/23, 648/70, 711/844?

Answer: LCM of Numerators as per given numbers 577/23, 648/70, 711/844 is

LCM of Numerators i.e. for 577,648,711 is 29537784

GCF of denominators i.e. for 23,70,844 is 1.

Thus, LCM of Fractions is 29537784.Finally, LCM of Fractions for 577/23, 648/70, 711/844 is 29537784.