Least Common Multiple of 729/92, 9892/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/92, 9892/755 quickly i.e. 7211268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/92, 9892/755 is 7211268.

LCM(729/92, 9892/755) = 7211268

LCM of 729/92, 9892/755

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 729/92,9892/755

Given numbers are 729/92,9892/755

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 729,9892

Least Common Multiple of Numerators i.e. LCM of 729,9892 is 7211268.

GCF of Denominators means GCF of 92,755 as per the given fractions.

GCF of 92,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,9892

LCM of Fractions 729/92,9892/755 is 7211268

Given numbers has no common factors except 1. So, there LCM is their product i.e 7211268

Least Common Multiple of 729,9892 with GCF Formula

Least Common Multiple of 729,9892 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 729,9892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,9892) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(729,9892) x common factors =1 x 1 = 1

LCM(729,9892) = ( 729 × 9892 ) / 1

LCM(729,9892) = 7211268 / 1

LCM(729,9892) = 7211268


Lets's calculate GCF of 92,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7211268/1

Therefore the LCM of Fractions 729/92,9892/755 is 7211268

Greatest Common Factor of 92,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,755 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 92,755 . The biggest common factor number is the GCF number.
So the greatest common factor 92,755 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 729/92, 9892/755

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 729/92, 9892/755?

Answer: LCM of Numerators as per given numbers 729/92, 9892/755 is

LCM of Numerators i.e. for 729,9892 is 7211268

GCF of denominators i.e. for 92,755 is 1.

Thus, LCM of Fractions is 7211268.Finally, LCM of Fractions for 729/92, 9892/755 is 7211268.