Least Common Multiple of 25/49, 90/96, 28/18, 20/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/49, 90/96, 28/18, 20/654 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 25/49, 90/96, 28/18, 20/654 is 6300.

LCM(25/49, 90/96, 28/18, 20/654) = 6300

LCM of 25/49, 90/96, 28/18, 20/654

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 25/49,90/96,28/18,20/654

Given numbers are 25/49,90/96,28/18,20/654

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 25,90,28,20

Least Common Multiple of Numerators i.e. LCM of 25,90,28,20 is 6300.

GCF of Denominators means GCF of 49,96,18,654 as per the given fractions.

GCF of 49,96,18,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,90,28,20

LCM of Fractions 25/49,90/96,28/18,20/654 is 6300

2 25, 90, 28, 20
2 25, 45, 14, 10
5 25, 45, 7, 5
1, 9, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 9 x 7 x 5 = 6300

Least Common Multiple of 25,90,28,20 with GCF Formula

Least Common Multiple of 25,90,28,20 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 25,90,28,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,90,28,20) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(25,90,28,20) x common factors =1 x 200 = 200

LCM(25,90,28,20) = ( 25 × 90 × 28 × 20 ) / 200

LCM(25,90,28,20) = 1260000 / 200

LCM(25,90,28,20) = 6300


Lets's calculate GCF of 49,96,18,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300/1

Therefore the LCM of Fractions 25/49,90/96,28/18,20/654 is 6300

Greatest Common Factor of 49,96,18,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,96,18,654 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 49,96,18,654 . The biggest common factor number is the GCF number.
So the greatest common factor 49,96,18,654 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 25/49, 90/96, 28/18, 20/654

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 25/49, 90/96, 28/18, 20/654?

Answer: LCM of Numerators as per given numbers 25/49, 90/96, 28/18, 20/654 is

LCM of Numerators i.e. for 25,90,28,20 is 6300

GCF of denominators i.e. for 49,96,18,654 is 1.

Thus, LCM of Fractions is 6300.Finally, LCM of Fractions for 25/49, 90/96, 28/18, 20/654 is 6300.