Least Common Multiple of 31/328, 90/341, 467/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/328, 90/341, 467/371 quickly i.e. 1302930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/328, 90/341, 467/371 is 1302930.

LCM(31/328, 90/341, 467/371) = 1302930

LCM of 31/328, 90/341, 467/371

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 31/328,90/341,467/371

Given numbers are 31/328,90/341,467/371

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 31,90,467

Least Common Multiple of Numerators i.e. LCM of 31,90,467 is 1302930.

GCF of Denominators means GCF of 328,341,371 as per the given fractions.

GCF of 328,341,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,90,467

LCM of Fractions 31/328,90/341,467/371 is 1302930

Given numbers has no common factors except 1. So, there LCM is their product i.e 1302930

Least Common Multiple of 31,90,467 with GCF Formula

Least Common Multiple of 31,90,467 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 31,90,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,90,467) = 1

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

GCF(31,90,467) x common factors =1 x 1 = 1

LCM(31,90,467) = ( 31 × 90 × 467 ) / 1

LCM(31,90,467) = 1302930 / 1

LCM(31,90,467) = 1302930


Lets's calculate GCF of 328,341,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302930/1

Therefore the LCM of Fractions 31/328,90/341,467/371 is 1302930

Greatest Common Factor of 328,341,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,341,371 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 328,341,371 . The biggest common factor number is the GCF number.
So the greatest common factor 328,341,371 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 31/328, 90/341, 467/371

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 31/328, 90/341, 467/371?

Answer: LCM of Numerators as per given numbers 31/328, 90/341, 467/371 is

LCM of Numerators i.e. for 31,90,467 is 1302930

GCF of denominators i.e. for 328,341,371 is 1.

Thus, LCM of Fractions is 1302930.Finally, LCM of Fractions for 31/328, 90/341, 467/371 is 1302930.