Least Common Multiple of 577/23, 684/45, 658/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/23, 684/45, 658/956 quickly i.e. 129845772 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, 684/45, 658/956 is 129845772.

LCM(577/23, 684/45, 658/956) = 129845772

LCM of 577/23, 684/45, 658/956

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 577/23,684/45,658/956

Given numbers are 577/23,684/45,658/956

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 577,684,658

Least Common Multiple of Numerators i.e. LCM of 577,684,658 is 129845772.

GCF of Denominators means GCF of 23,45,956 as per the given fractions.

GCF of 23,45,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,684,658

LCM of Fractions 577/23,684/45,658/956 is 129845772

2 577, 684, 658
577, 342, 329

∴ So the LCM of the given numbers is 2 x 577 x 342 x 329 = 129845772

Least Common Multiple of 577,684,658 with GCF Formula

Least Common Multiple of 577,684,658 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 577,684,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,684,658) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(577,684,658) x common factors =1 x 2 = 2

LCM(577,684,658) = ( 577 × 684 × 658 ) / 2

LCM(577,684,658) = 259691544 / 2

LCM(577,684,658) = 129845772


Lets's calculate GCF of 23,45,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129845772/1

Therefore the LCM of Fractions 577/23,684/45,658/956 is 129845772

Greatest Common Factor of 23,45,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,45,956 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 23,45,956 . The biggest common factor number is the GCF number.
So the greatest common factor 23,45,956 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, 684/45, 658/956

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, 684/45, 658/956?

Answer: LCM of Numerators as per given numbers 577/23, 684/45, 658/956 is

LCM of Numerators i.e. for 577,684,658 is 129845772

GCF of denominators i.e. for 23,45,956 is 1.

Thus, LCM of Fractions is 129845772.Finally, LCM of Fractions for 577/23, 684/45, 658/956 is 129845772.