Least Common Multiple of 728/91, 566/92, 343/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/91, 566/92, 343/35 quickly i.e. 10095176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/91, 566/92, 343/35 is 10095176.

LCM(728/91, 566/92, 343/35) = 10095176

LCM of 728/91, 566/92, 343/35

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 728/91,566/92,343/35

Given numbers are 728/91,566/92,343/35

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 728,566,343

Least Common Multiple of Numerators i.e. LCM of 728,566,343 is 10095176.

GCF of Denominators means GCF of 91,92,35 as per the given fractions.

GCF of 91,92,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,566,343

LCM of Fractions 728/91,566/92,343/35 is 10095176

2 728, 566, 343
7 364, 283, 343
52, 283, 49

∴ So the LCM of the given numbers is 2 x 7 x 52 x 283 x 49 = 10095176

Least Common Multiple of 728,566,343 with GCF Formula

Least Common Multiple of 728,566,343 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 728,566,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,566,343) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(728,566,343) x common factors =1 x 14 = 14

LCM(728,566,343) = ( 728 × 566 × 343 ) / 14

LCM(728,566,343) = 141332464 / 14

LCM(728,566,343) = 10095176


Lets's calculate GCF of 91,92,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10095176/1

Therefore the LCM of Fractions 728/91,566/92,343/35 is 10095176

Greatest Common Factor of 91,92,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,92,35 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 91,92,35 . The biggest common factor number is the GCF number.
So the greatest common factor 91,92,35 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 728/91, 566/92, 343/35

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 728/91, 566/92, 343/35?

Answer: LCM of Numerators as per given numbers 728/91, 566/92, 343/35 is

LCM of Numerators i.e. for 728,566,343 is 10095176

GCF of denominators i.e. for 91,92,35 is 1.

Thus, LCM of Fractions is 10095176.Finally, LCM of Fractions for 728/91, 566/92, 343/35 is 10095176.