Least Common Multiple of 72/257, 355/983, 994/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/257, 355/983, 994/225 quickly i.e. 178920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/257, 355/983, 994/225 is 178920.

LCM(72/257, 355/983, 994/225) = 178920

LCM of 72/257, 355/983, 994/225

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 72/257,355/983,994/225

Given numbers are 72/257,355/983,994/225

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 72,355,994

Least Common Multiple of Numerators i.e. LCM of 72,355,994 is 178920.

GCF of Denominators means GCF of 257,983,225 as per the given fractions.

GCF of 257,983,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,355,994

LCM of Fractions 72/257,355/983,994/225 is 178920

2 72, 355, 994
71 36, 355, 497
36, 5, 7

∴ So the LCM of the given numbers is 2 x 71 x 36 x 5 x 7 = 178920

Least Common Multiple of 72,355,994 with GCF Formula

Least Common Multiple of 72,355,994 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 72,355,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,355,994) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(72,355,994) x common factors =1 x 142 = 142

LCM(72,355,994) = ( 72 × 355 × 994 ) / 142

LCM(72,355,994) = 25406640 / 142

LCM(72,355,994) = 178920


Lets's calculate GCF of 257,983,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178920/1

Therefore the LCM of Fractions 72/257,355/983,994/225 is 178920

Greatest Common Factor of 257,983,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,983,225 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 257,983,225 . The biggest common factor number is the GCF number.
So the greatest common factor 257,983,225 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 72/257, 355/983, 994/225

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 72/257, 355/983, 994/225?

Answer: LCM of Numerators as per given numbers 72/257, 355/983, 994/225 is

LCM of Numerators i.e. for 72,355,994 is 178920

GCF of denominators i.e. for 257,983,225 is 1.

Thus, LCM of Fractions is 178920.Finally, LCM of Fractions for 72/257, 355/983, 994/225 is 178920.