Least Common Multiple of 72/314, 77/398, 481/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/314, 77/398, 481/603 quickly i.e. 2666664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/314, 77/398, 481/603 is 2666664.

LCM(72/314, 77/398, 481/603) = 2666664

LCM of 72/314, 77/398, 481/603

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 72/314,77/398,481/603

Given numbers are 72/314,77/398,481/603

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 72,77,481

Least Common Multiple of Numerators i.e. LCM of 72,77,481 is 2666664.

GCF of Denominators means GCF of 314,398,603 as per the given fractions.

GCF of 314,398,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,77,481

LCM of Fractions 72/314,77/398,481/603 is 2666664

Given numbers has no common factors except 1. So, there LCM is their product i.e 2666664

Least Common Multiple of 72,77,481 with GCF Formula

Least Common Multiple of 72,77,481 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 72,77,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,77,481) = 1

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

GCF(72,77,481) x common factors =1 x 1 = 1

LCM(72,77,481) = ( 72 × 77 × 481 ) / 1

LCM(72,77,481) = 2666664 / 1

LCM(72,77,481) = 2666664


Lets's calculate GCF of 314,398,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2666664/1

Therefore the LCM of Fractions 72/314,77/398,481/603 is 2666664

Greatest Common Factor of 314,398,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,398,603 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 314,398,603 . The biggest common factor number is the GCF number.
So the greatest common factor 314,398,603 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 72/314, 77/398, 481/603

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 72/314, 77/398, 481/603?

Answer: LCM of Numerators as per given numbers 72/314, 77/398, 481/603 is

LCM of Numerators i.e. for 72,77,481 is 2666664

GCF of denominators i.e. for 314,398,603 is 1.

Thus, LCM of Fractions is 2666664.Finally, LCM of Fractions for 72/314, 77/398, 481/603 is 2666664.