Least Common Multiple of 72/698, 80/262, 327/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/698, 80/262, 327/798 quickly i.e. 39240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/698, 80/262, 327/798 is 39240.

LCM(72/698, 80/262, 327/798) = 39240

LCM of 72/698, 80/262, 327/798

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 72/698,80/262,327/798

Given numbers are 72/698,80/262,327/798

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 72,80,327

Least Common Multiple of Numerators i.e. LCM of 72,80,327 is 78480.

GCF of Denominators means GCF of 698,262,798 as per the given fractions.

GCF of 698,262,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,80,327

LCM of Fractions 72/698,80/262,327/798 is 39240

2 72, 80, 327
2 36, 40, 327
2 18, 20, 327
3 9, 10, 327
3, 10, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 10 x 109 = 78480

Least Common Multiple of 72,80,327 with GCF Formula

Least Common Multiple of 72,80,327 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 72,80,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,80,327) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,80,327) x common factors =1 x 24 = 24

LCM(72,80,327) = ( 72 × 80 × 327 ) / 24

LCM(72,80,327) = 1883520 / 24

LCM(72,80,327) = 78480


Lets's calculate GCF of 698,262,798

2 698, 262, 798
349, 131, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78480/2

Therefore the LCM of Fractions 72/698,80/262,327/798 is 39240

Greatest Common Factor of 698,262,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,262,798 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 698,262,798 . The biggest common factor number is the GCF number.
So the greatest common factor 698,262,798 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 72/698, 80/262, 327/798

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 72/698, 80/262, 327/798?

Answer: LCM of Numerators as per given numbers 72/698, 80/262, 327/798 is

LCM of Numerators i.e. for 72,80,327 is 78480

GCF of denominators i.e. for 698,262,798 is 2.

Thus, LCM of Fractions is 39240.Finally, LCM of Fractions for 72/698, 80/262, 327/798 is 39240.