Least Common Multiple of 250/48, 150/82, 735/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/48, 150/82, 735/244 quickly i.e. 18375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/48, 150/82, 735/244 is 18375.

LCM(250/48, 150/82, 735/244) = 18375

LCM of 250/48, 150/82, 735/244

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 250/48,150/82,735/244

Given numbers are 250/48,150/82,735/244

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 250,150,735

Least Common Multiple of Numerators i.e. LCM of 250,150,735 is 36750.

GCF of Denominators means GCF of 48,82,244 as per the given fractions.

GCF of 48,82,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,150,735

LCM of Fractions 250/48,150/82,735/244 is 18375

2 250, 150, 735
3 125, 75, 735
5 125, 25, 245
5 5, 25, 49
1, 5, 49

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 5 x 49 = 36750

Least Common Multiple of 250,150,735 with GCF Formula

Least Common Multiple of 250,150,735 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 250,150,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,150,735) = 5

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

GCF(250,150,735) x common factors =5 x 150 = 750

LCM(250,150,735) = ( 250 × 150 × 735 ) / 750

LCM(250,150,735) = 27562500 / 750

LCM(250,150,735) = 36750


Lets's calculate GCF of 48,82,244

2 48, 82, 244
24, 41, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36750/2

Therefore the LCM of Fractions 250/48,150/82,735/244 is 18375

Greatest Common Factor of 48,82,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,82,244 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 48,82,244 . The biggest common factor number is the GCF number.
So the greatest common factor 48,82,244 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 250/48, 150/82, 735/244

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 250/48, 150/82, 735/244?

Answer: LCM of Numerators as per given numbers 250/48, 150/82, 735/244 is

LCM of Numerators i.e. for 250,150,735 is 36750

GCF of denominators i.e. for 48,82,244 is 2.

Thus, LCM of Fractions is 18375.Finally, LCM of Fractions for 250/48, 150/82, 735/244 is 18375.