Least Common Multiple of 242/50, 249/78, 791/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/50, 249/78, 791/456 quickly i.e. 23832039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/50, 249/78, 791/456 is 23832039.

LCM(242/50, 249/78, 791/456) = 23832039

LCM of 242/50, 249/78, 791/456

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 242/50,249/78,791/456

Given numbers are 242/50,249/78,791/456

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 242,249,791

Least Common Multiple of Numerators i.e. LCM of 242,249,791 is 47664078.

GCF of Denominators means GCF of 50,78,456 as per the given fractions.

GCF of 50,78,456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,249,791

LCM of Fractions 242/50,249/78,791/456 is 23832039

Given numbers has no common factors except 1. So, there LCM is their product i.e 47664078

Least Common Multiple of 242,249,791 with GCF Formula

Least Common Multiple of 242,249,791 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 242,249,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,249,791) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(242,249,791) x common factors =1 x 1 = 1

LCM(242,249,791) = ( 242 × 249 × 791 ) / 1

LCM(242,249,791) = 47664078 / 1

LCM(242,249,791) = 47664078


Lets's calculate GCF of 50,78,456

2 50, 78, 456
25, 39, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47664078/2

Therefore the LCM of Fractions 242/50,249/78,791/456 is 23832039

Greatest Common Factor of 50,78,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,78,456 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 50,78,456 . The biggest common factor number is the GCF number.
So the greatest common factor 50,78,456 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 242/50, 249/78, 791/456

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 242/50, 249/78, 791/456?

Answer: LCM of Numerators as per given numbers 242/50, 249/78, 791/456 is

LCM of Numerators i.e. for 242,249,791 is 47664078

GCF of denominators i.e. for 50,78,456 is 2.

Thus, LCM of Fractions is 23832039.Finally, LCM of Fractions for 242/50, 249/78, 791/456 is 23832039.