Least Common Multiple of 25/338, 60/874, 943/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/338, 60/874, 943/792 quickly i.e. 141450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/338, 60/874, 943/792 is 141450.

LCM(25/338, 60/874, 943/792) = 141450

LCM of 25/338, 60/874, 943/792

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 25/338,60/874,943/792

Given numbers are 25/338,60/874,943/792

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 25,60,943

Least Common Multiple of Numerators i.e. LCM of 25,60,943 is 282900.

GCF of Denominators means GCF of 338,874,792 as per the given fractions.

GCF of 338,874,792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,60,943

LCM of Fractions 25/338,60/874,943/792 is 141450

5 25, 60, 943
5, 12, 943

∴ So the LCM of the given numbers is 5 x 5 x 12 x 943 = 282900

Least Common Multiple of 25,60,943 with GCF Formula

Least Common Multiple of 25,60,943 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 25,60,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,60,943) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,60,943) x common factors =1 x 5 = 5

LCM(25,60,943) = ( 25 × 60 × 943 ) / 5

LCM(25,60,943) = 1414500 / 5

LCM(25,60,943) = 282900


Lets's calculate GCF of 338,874,792

2 338, 874, 792
169, 437, 396

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282900/2

Therefore the LCM of Fractions 25/338,60/874,943/792 is 141450

Greatest Common Factor of 338,874,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,874,792 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 338,874,792 . The biggest common factor number is the GCF number.
So the greatest common factor 338,874,792 is 2.


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 25/338, 60/874, 943/792

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 25/338, 60/874, 943/792?

Answer: LCM of Numerators as per given numbers 25/338, 60/874, 943/792 is

LCM of Numerators i.e. for 25,60,943 is 282900

GCF of denominators i.e. for 338,874,792 is 2.

Thus, LCM of Fractions is 141450.Finally, LCM of Fractions for 25/338, 60/874, 943/792 is 141450.