Least Common Multiple of 31/85, 42/281, 511/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/85, 42/281, 511/209 quickly i.e. 95046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/85, 42/281, 511/209 is 95046.

LCM(31/85, 42/281, 511/209) = 95046

LCM of 31/85, 42/281, 511/209

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 31/85,42/281,511/209

Given numbers are 31/85,42/281,511/209

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 31,42,511

Least Common Multiple of Numerators i.e. LCM of 31,42,511 is 95046.

GCF of Denominators means GCF of 85,281,209 as per the given fractions.

GCF of 85,281,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,42,511

LCM of Fractions 31/85,42/281,511/209 is 95046

7 31, 42, 511
31, 6, 73

∴ So the LCM of the given numbers is 7 x 31 x 6 x 73 = 95046

Least Common Multiple of 31,42,511 with GCF Formula

Least Common Multiple of 31,42,511 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 31,42,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,42,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,42,511) x common factors =1 x 7 = 7

LCM(31,42,511) = ( 31 × 42 × 511 ) / 7

LCM(31,42,511) = 665322 / 7

LCM(31,42,511) = 95046


Lets's calculate GCF of 85,281,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95046/1

Therefore the LCM of Fractions 31/85,42/281,511/209 is 95046

Greatest Common Factor of 85,281,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,281,209 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 85,281,209 . The biggest common factor number is the GCF number.
So the greatest common factor 85,281,209 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 31/85, 42/281, 511/209

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 31/85, 42/281, 511/209?

Answer: LCM of Numerators as per given numbers 31/85, 42/281, 511/209 is

LCM of Numerators i.e. for 31,42,511 is 95046

GCF of denominators i.e. for 85,281,209 is 1.

Thus, LCM of Fractions is 95046.Finally, LCM of Fractions for 31/85, 42/281, 511/209 is 95046.