Least Common Multiple of 806/240, 5117/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 806/240, 5117/491 quickly i.e. 4124302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/240, 5117/491 is 4124302.

LCM(806/240, 5117/491) = 4124302

LCM of 806/240, 5117/491

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 806/240,5117/491

Given numbers are 806/240,5117/491

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 806,5117

Least Common Multiple of Numerators i.e. LCM of 806,5117 is 4124302.

GCF of Denominators means GCF of 240,491 as per the given fractions.

GCF of 240,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,5117

LCM of Fractions 806/240,5117/491 is 4124302

Given numbers has no common factors except 1. So, there LCM is their product i.e 4124302

Least Common Multiple of 806,5117 with GCF Formula

Least Common Multiple of 806,5117 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 806,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,5117) = 1

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

GCF(806,5117) x common factors =1 x 1 = 1

LCM(806,5117) = ( 806 × 5117 ) / 1

LCM(806,5117) = 4124302 / 1

LCM(806,5117) = 4124302


Lets's calculate GCF of 240,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4124302/1

Therefore the LCM of Fractions 806/240,5117/491 is 4124302

Greatest Common Factor of 240,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,491 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 240,491 . The biggest common factor number is the GCF number.
So the greatest common factor 240,491 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 806/240, 5117/491

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 806/240, 5117/491?

Answer: LCM of Numerators as per given numbers 806/240, 5117/491 is

LCM of Numerators i.e. for 806,5117 is 4124302

GCF of denominators i.e. for 240,491 is 1.

Thus, LCM of Fractions is 4124302.Finally, LCM of Fractions for 806/240, 5117/491 is 4124302.