Least Common Multiple of 92/742, 24/577, 717/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/742, 24/577, 717/899 quickly i.e. 131928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/742, 24/577, 717/899 is 131928.

LCM(92/742, 24/577, 717/899) = 131928

LCM of 92/742, 24/577, 717/899

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 92/742,24/577,717/899

Given numbers are 92/742,24/577,717/899

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 92,24,717

Least Common Multiple of Numerators i.e. LCM of 92,24,717 is 131928.

GCF of Denominators means GCF of 742,577,899 as per the given fractions.

GCF of 742,577,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,24,717

LCM of Fractions 92/742,24/577,717/899 is 131928

2 92, 24, 717
2 46, 12, 717
3 23, 6, 717
23, 2, 239

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 2 x 239 = 131928

Least Common Multiple of 92,24,717 with GCF Formula

Least Common Multiple of 92,24,717 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 92,24,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,24,717) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,24,717) x common factors =1 x 12 = 12

LCM(92,24,717) = ( 92 × 24 × 717 ) / 12

LCM(92,24,717) = 1583136 / 12

LCM(92,24,717) = 131928


Lets's calculate GCF of 742,577,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131928/1

Therefore the LCM of Fractions 92/742,24/577,717/899 is 131928

Greatest Common Factor of 742,577,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,577,899 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 742,577,899 . The biggest common factor number is the GCF number.
So the greatest common factor 742,577,899 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 92/742, 24/577, 717/899

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 92/742, 24/577, 717/899?

Answer: LCM of Numerators as per given numbers 92/742, 24/577, 717/899 is

LCM of Numerators i.e. for 92,24,717 is 131928

GCF of denominators i.e. for 742,577,899 is 1.

Thus, LCM of Fractions is 131928.Finally, LCM of Fractions for 92/742, 24/577, 717/899 is 131928.