Least Common Multiple of 76/313, 17/274, 481/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/313, 17/274, 481/894 quickly i.e. 621452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/313, 17/274, 481/894 is 621452.

LCM(76/313, 17/274, 481/894) = 621452

LCM of 76/313, 17/274, 481/894

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 76/313,17/274,481/894

Given numbers are 76/313,17/274,481/894

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 76,17,481

Least Common Multiple of Numerators i.e. LCM of 76,17,481 is 621452.

GCF of Denominators means GCF of 313,274,894 as per the given fractions.

GCF of 313,274,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,17,481

LCM of Fractions 76/313,17/274,481/894 is 621452

Given numbers has no common factors except 1. So, there LCM is their product i.e 621452

Least Common Multiple of 76,17,481 with GCF Formula

Least Common Multiple of 76,17,481 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 76,17,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,17,481) = 1

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

GCF(76,17,481) x common factors =1 x 1 = 1

LCM(76,17,481) = ( 76 × 17 × 481 ) / 1

LCM(76,17,481) = 621452 / 1

LCM(76,17,481) = 621452


Lets's calculate GCF of 313,274,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621452/1

Therefore the LCM of Fractions 76/313,17/274,481/894 is 621452

Greatest Common Factor of 313,274,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,274,894 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 313,274,894 . The biggest common factor number is the GCF number.
So the greatest common factor 313,274,894 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 76/313, 17/274, 481/894

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 76/313, 17/274, 481/894?

Answer: LCM of Numerators as per given numbers 76/313, 17/274, 481/894 is

LCM of Numerators i.e. for 76,17,481 is 621452

GCF of denominators i.e. for 313,274,894 is 1.

Thus, LCM of Fractions is 621452.Finally, LCM of Fractions for 76/313, 17/274, 481/894 is 621452.