Least Common Multiple of 28/27, 202/59, 296/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/27, 202/59, 296/250 quickly i.e. 209272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/27, 202/59, 296/250 is 209272.

LCM(28/27, 202/59, 296/250) = 209272

LCM of 28/27, 202/59, 296/250

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 28/27,202/59,296/250

Given numbers are 28/27,202/59,296/250

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 28,202,296

Least Common Multiple of Numerators i.e. LCM of 28,202,296 is 209272.

GCF of Denominators means GCF of 27,59,250 as per the given fractions.

GCF of 27,59,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,202,296

LCM of Fractions 28/27,202/59,296/250 is 209272

2 28, 202, 296
2 14, 101, 148
7, 101, 74

∴ So the LCM of the given numbers is 2 x 2 x 7 x 101 x 74 = 209272

Least Common Multiple of 28,202,296 with GCF Formula

Least Common Multiple of 28,202,296 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 28,202,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,202,296) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,202,296) x common factors =2 x 4 = 8

LCM(28,202,296) = ( 28 × 202 × 296 ) / 8

LCM(28,202,296) = 1674176 / 8

LCM(28,202,296) = 209272


Lets's calculate GCF of 27,59,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209272/1

Therefore the LCM of Fractions 28/27,202/59,296/250 is 209272

Greatest Common Factor of 27,59,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,59,250 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 27,59,250 . The biggest common factor number is the GCF number.
So the greatest common factor 27,59,250 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 28/27, 202/59, 296/250

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 28/27, 202/59, 296/250?

Answer: LCM of Numerators as per given numbers 28/27, 202/59, 296/250 is

LCM of Numerators i.e. for 28,202,296 is 209272

GCF of denominators i.e. for 27,59,250 is 1.

Thus, LCM of Fractions is 209272.Finally, LCM of Fractions for 28/27, 202/59, 296/250 is 209272.