Least Common Multiple of 494/572, 181/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/572, 181/778 quickly i.e. 44707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/572, 181/778 is 44707.

LCM(494/572, 181/778) = 44707

LCM of 494/572, 181/778

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 494/572,181/778

Given numbers are 494/572,181/778

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 494,181

Least Common Multiple of Numerators i.e. LCM of 494,181 is 89414.

GCF of Denominators means GCF of 572,778 as per the given fractions.

GCF of 572,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,181

LCM of Fractions 494/572,181/778 is 44707

Given numbers has no common factors except 1. So, there LCM is their product i.e 89414

Least Common Multiple of 494,181 with GCF Formula

Least Common Multiple of 494,181 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 494,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,181) = 1

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

GCF(494,181) x common factors =1 x 1 = 1

LCM(494,181) = ( 494 × 181 ) / 1

LCM(494,181) = 89414 / 1

LCM(494,181) = 89414


Lets's calculate GCF of 572,778

2 572, 778
286, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89414/2

Therefore the LCM of Fractions 494/572,181/778 is 44707

Greatest Common Factor of 572,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,778 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 572,778 . The biggest common factor number is the GCF number.
So the greatest common factor 572,778 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 494/572, 181/778

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 494/572, 181/778?

Answer: LCM of Numerators as per given numbers 494/572, 181/778 is

LCM of Numerators i.e. for 494,181 is 89414

GCF of denominators i.e. for 572,778 is 2.

Thus, LCM of Fractions is 44707.Finally, LCM of Fractions for 494/572, 181/778 is 44707.