Least Common Multiple of 792/238, 889/427, 743/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/238, 889/427, 743/625 quickly i.e. 523137384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/238, 889/427, 743/625 is 523137384.

LCM(792/238, 889/427, 743/625) = 523137384

LCM of 792/238, 889/427, 743/625

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 792/238,889/427,743/625

Given numbers are 792/238,889/427,743/625

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 792,889,743

Least Common Multiple of Numerators i.e. LCM of 792,889,743 is 523137384.

GCF of Denominators means GCF of 238,427,625 as per the given fractions.

GCF of 238,427,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,889,743

LCM of Fractions 792/238,889/427,743/625 is 523137384

Given numbers has no common factors except 1. So, there LCM is their product i.e 523137384

Least Common Multiple of 792,889,743 with GCF Formula

Least Common Multiple of 792,889,743 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 792,889,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,889,743) = 1

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

GCF(792,889,743) x common factors =1 x 1 = 1

LCM(792,889,743) = ( 792 × 889 × 743 ) / 1

LCM(792,889,743) = 523137384 / 1

LCM(792,889,743) = 523137384


Lets's calculate GCF of 238,427,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523137384/1

Therefore the LCM of Fractions 792/238,889/427,743/625 is 523137384

Greatest Common Factor of 238,427,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,427,625 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 238,427,625 . The biggest common factor number is the GCF number.
So the greatest common factor 238,427,625 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 792/238, 889/427, 743/625

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 792/238, 889/427, 743/625?

Answer: LCM of Numerators as per given numbers 792/238, 889/427, 743/625 is

LCM of Numerators i.e. for 792,889,743 is 523137384

GCF of denominators i.e. for 238,427,625 is 1.

Thus, LCM of Fractions is 523137384.Finally, LCM of Fractions for 792/238, 889/427, 743/625 is 523137384.