Least Common Multiple of 92/66, 76/96, 577/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/66, 76/96, 577/917 quickly i.e. 1008596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/66, 76/96, 577/917 is 1008596.

LCM(92/66, 76/96, 577/917) = 1008596

LCM of 92/66, 76/96, 577/917

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 92/66,76/96,577/917

Given numbers are 92/66,76/96,577/917

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 92,76,577

Least Common Multiple of Numerators i.e. LCM of 92,76,577 is 1008596.

GCF of Denominators means GCF of 66,96,917 as per the given fractions.

GCF of 66,96,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,76,577

LCM of Fractions 92/66,76/96,577/917 is 1008596

2 92, 76, 577
2 46, 38, 577
23, 19, 577

∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 577 = 1008596

Least Common Multiple of 92,76,577 with GCF Formula

Least Common Multiple of 92,76,577 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 92,76,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,76,577) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,76,577) x common factors =1 x 4 = 4

LCM(92,76,577) = ( 92 × 76 × 577 ) / 4

LCM(92,76,577) = 4034384 / 4

LCM(92,76,577) = 1008596


Lets's calculate GCF of 66,96,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008596/1

Therefore the LCM of Fractions 92/66,76/96,577/917 is 1008596

Greatest Common Factor of 66,96,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,96,917 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 66,96,917 . The biggest common factor number is the GCF number.
So the greatest common factor 66,96,917 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 92/66, 76/96, 577/917

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 92/66, 76/96, 577/917?

Answer: LCM of Numerators as per given numbers 92/66, 76/96, 577/917 is

LCM of Numerators i.e. for 92,76,577 is 1008596

GCF of denominators i.e. for 66,96,917 is 1.

Thus, LCM of Fractions is 1008596.Finally, LCM of Fractions for 92/66, 76/96, 577/917 is 1008596.