Least Common Multiple of 792/857, 5729/9374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/857, 5729/9374 quickly i.e. 4537368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/857, 5729/9374 is 4537368.

LCM(792/857, 5729/9374) = 4537368

LCM of 792/857, 5729/9374

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 792/857,5729/9374

Given numbers are 792/857,5729/9374

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 792,5729

Least Common Multiple of Numerators i.e. LCM of 792,5729 is 4537368.

GCF of Denominators means GCF of 857,9374 as per the given fractions.

GCF of 857,9374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,5729

LCM of Fractions 792/857,5729/9374 is 4537368

Given numbers has no common factors except 1. So, there LCM is their product i.e 4537368

Least Common Multiple of 792,5729 with GCF Formula

Least Common Multiple of 792,5729 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 792,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5729) = 1

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

GCF(792,5729) x common factors =1 x 1 = 1

LCM(792,5729) = ( 792 × 5729 ) / 1

LCM(792,5729) = 4537368 / 1

LCM(792,5729) = 4537368


Lets's calculate GCF of 857,9374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4537368/1

Therefore the LCM of Fractions 792/857,5729/9374 is 4537368

Greatest Common Factor of 857,9374 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,9374 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1,2,43,86,109,218,4687,9374

Greatest Common Factor

We found the factors 857,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 857,9374 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 792/857, 5729/9374

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 792/857, 5729/9374?

Answer: LCM of Numerators as per given numbers 792/857, 5729/9374 is

LCM of Numerators i.e. for 792,5729 is 4537368

GCF of denominators i.e. for 857,9374 is 1.

Thus, LCM of Fractions is 4537368.Finally, LCM of Fractions for 792/857, 5729/9374 is 4537368.