Least Common Multiple of 25/54, 15/25, 45/61, 71/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/54, 15/25, 45/61, 71/699 quickly i.e. 15975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/54, 15/25, 45/61, 71/699 is 15975.

LCM(25/54, 15/25, 45/61, 71/699) = 15975

LCM of 25/54, 15/25, 45/61, 71/699

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 25/54,15/25,45/61,71/699

Given numbers are 25/54,15/25,45/61,71/699

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 25,15,45,71

Least Common Multiple of Numerators i.e. LCM of 25,15,45,71 is 15975.

GCF of Denominators means GCF of 54,25,61,699 as per the given fractions.

GCF of 54,25,61,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,15,45,71

LCM of Fractions 25/54,15/25,45/61,71/699 is 15975

3 25, 15, 45, 71
5 25, 5, 15, 71
1, 5, 3, 71

∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 3 x 71 = 15975

Least Common Multiple of 25,15,45,71 with GCF Formula

Least Common Multiple of 25,15,45,71 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 25,15,45,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,15,45,71) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(25,15,45,71) x common factors =1 x 75 = 75

LCM(25,15,45,71) = ( 25 × 15 × 45 × 71 ) / 75

LCM(25,15,45,71) = 1198125 / 75

LCM(25,15,45,71) = 15975


Lets's calculate GCF of 54,25,61,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15975/1

Therefore the LCM of Fractions 25/54,15/25,45/61,71/699 is 15975

Greatest Common Factor of 54,25,61,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,25,61,699 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 54,25,61,699 . The biggest common factor number is the GCF number.
So the greatest common factor 54,25,61,699 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 25/54, 15/25, 45/61, 71/699

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 25/54, 15/25, 45/61, 71/699?

Answer: LCM of Numerators as per given numbers 25/54, 15/25, 45/61, 71/699 is

LCM of Numerators i.e. for 25,15,45,71 is 15975

GCF of denominators i.e. for 54,25,61,699 is 1.

Thus, LCM of Fractions is 15975.Finally, LCM of Fractions for 25/54, 15/25, 45/61, 71/699 is 15975.