Least Common Multiple of 25/74, 59/71, 51/60, 301/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/74, 59/71, 51/60, 301/44 quickly i.e. 22642725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/74, 59/71, 51/60, 301/44 is 22642725.

LCM(25/74, 59/71, 51/60, 301/44) = 22642725

LCM of 25/74, 59/71, 51/60, 301/44

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 25/74,59/71,51/60,301/44

Given numbers are 25/74,59/71,51/60,301/44

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 25,59,51,301

Least Common Multiple of Numerators i.e. LCM of 25,59,51,301 is 22642725.

GCF of Denominators means GCF of 74,71,60,44 as per the given fractions.

GCF of 74,71,60,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,59,51,301

LCM of Fractions 25/74,59/71,51/60,301/44 is 22642725

Given numbers has no common factors except 1. So, there LCM is their product i.e 22642725

Least Common Multiple of 25,59,51,301 with GCF Formula

Least Common Multiple of 25,59,51,301 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 25,59,51,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,59,51,301) = 1

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

GCF(25,59,51,301) x common factors =1 x 1 = 1

LCM(25,59,51,301) = ( 25 × 59 × 51 × 301 ) / 1

LCM(25,59,51,301) = 22642725 / 1

LCM(25,59,51,301) = 22642725


Lets's calculate GCF of 74,71,60,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22642725/1

Therefore the LCM of Fractions 25/74,59/71,51/60,301/44 is 22642725

Greatest Common Factor of 74,71,60,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,71,60,44 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 74,71,60,44 . The biggest common factor number is the GCF number.
So the greatest common factor 74,71,60,44 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 25/74, 59/71, 51/60, 301/44

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 25/74, 59/71, 51/60, 301/44?

Answer: LCM of Numerators as per given numbers 25/74, 59/71, 51/60, 301/44 is

LCM of Numerators i.e. for 25,59,51,301 is 22642725

GCF of denominators i.e. for 74,71,60,44 is 1.

Thus, LCM of Fractions is 22642725.Finally, LCM of Fractions for 25/74, 59/71, 51/60, 301/44 is 22642725.