Least Common Multiple of 25/44, 56/74, 45/20, 30/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/44, 56/74, 45/20, 30/268 quickly i.e. 6300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/44, 56/74, 45/20, 30/268 is 6300.

LCM(25/44, 56/74, 45/20, 30/268) = 6300

LCM of 25/44, 56/74, 45/20, 30/268

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 25/44,56/74,45/20,30/268

Given numbers are 25/44,56/74,45/20,30/268

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 25,56,45,30

Least Common Multiple of Numerators i.e. LCM of 25,56,45,30 is 12600.

GCF of Denominators means GCF of 44,74,20,268 as per the given fractions.

GCF of 44,74,20,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,56,45,30

LCM of Fractions 25/44,56/74,45/20,30/268 is 6300

2 25, 56, 45, 30
3 25, 28, 45, 15
5 25, 28, 5, 15
1, 28, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 28 x 5 x 3 = 12600

Least Common Multiple of 25,56,45,30 with GCF Formula

Least Common Multiple of 25,56,45,30 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 25,56,45,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,56,45,30) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(25,56,45,30) x common factors =1 x 150 = 150

LCM(25,56,45,30) = ( 25 × 56 × 45 × 30 ) / 150

LCM(25,56,45,30) = 1890000 / 150

LCM(25,56,45,30) = 12600


Lets's calculate GCF of 44,74,20,268

2 44, 74, 20, 268
22, 37, 10, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/2

Therefore the LCM of Fractions 25/44,56/74,45/20,30/268 is 6300

Greatest Common Factor of 44,74,20,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,74,20,268 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 74

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

1,2,37,74

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 44,74,20,268 . The biggest common factor number is the GCF number.
So the greatest common factor 44,74,20,268 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 25/44, 56/74, 45/20, 30/268

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 25/44, 56/74, 45/20, 30/268?

Answer: LCM of Numerators as per given numbers 25/44, 56/74, 45/20, 30/268 is

LCM of Numerators i.e. for 25,56,45,30 is 12600

GCF of denominators i.e. for 44,74,20,268 is 2.

Thus, LCM of Fractions is 6300.Finally, LCM of Fractions for 25/44, 56/74, 45/20, 30/268 is 6300.