Least Common Multiple of 81/980, 31/653, 363/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/980, 31/653, 363/248 quickly i.e. 303831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/980, 31/653, 363/248 is 303831.

LCM(81/980, 31/653, 363/248) = 303831

LCM of 81/980, 31/653, 363/248

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 81/980,31/653,363/248

Given numbers are 81/980,31/653,363/248

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 81,31,363

Least Common Multiple of Numerators i.e. LCM of 81,31,363 is 303831.

GCF of Denominators means GCF of 980,653,248 as per the given fractions.

GCF of 980,653,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,31,363

LCM of Fractions 81/980,31/653,363/248 is 303831

3 81, 31, 363
27, 31, 121

∴ So the LCM of the given numbers is 3 x 27 x 31 x 121 = 303831

Least Common Multiple of 81,31,363 with GCF Formula

Least Common Multiple of 81,31,363 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 81,31,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,31,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,31,363) x common factors =1 x 3 = 3

LCM(81,31,363) = ( 81 × 31 × 363 ) / 3

LCM(81,31,363) = 911493 / 3

LCM(81,31,363) = 303831


Lets's calculate GCF of 980,653,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303831/1

Therefore the LCM of Fractions 81/980,31/653,363/248 is 303831

Greatest Common Factor of 980,653,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,653,248 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 980,653,248 . The biggest common factor number is the GCF number.
So the greatest common factor 980,653,248 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 81/980, 31/653, 363/248

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 81/980, 31/653, 363/248?

Answer: LCM of Numerators as per given numbers 81/980, 31/653, 363/248 is

LCM of Numerators i.e. for 81,31,363 is 303831

GCF of denominators i.e. for 980,653,248 is 1.

Thus, LCM of Fractions is 303831.Finally, LCM of Fractions for 81/980, 31/653, 363/248 is 303831.