Least Common Multiple of 802/491, 986/252, 805/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/491, 986/252, 805/795 quickly i.e. 318285730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/491, 986/252, 805/795 is 318285730.

LCM(802/491, 986/252, 805/795) = 318285730

LCM of 802/491, 986/252, 805/795

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 802/491,986/252,805/795

Given numbers are 802/491,986/252,805/795

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 802,986,805

Least Common Multiple of Numerators i.e. LCM of 802,986,805 is 318285730.

GCF of Denominators means GCF of 491,252,795 as per the given fractions.

GCF of 491,252,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,986,805

LCM of Fractions 802/491,986/252,805/795 is 318285730

2 802, 986, 805
401, 493, 805

∴ So the LCM of the given numbers is 2 x 401 x 493 x 805 = 318285730

Least Common Multiple of 802,986,805 with GCF Formula

Least Common Multiple of 802,986,805 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 802,986,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,986,805) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(802,986,805) x common factors =1 x 2 = 2

LCM(802,986,805) = ( 802 × 986 × 805 ) / 2

LCM(802,986,805) = 636571460 / 2

LCM(802,986,805) = 318285730


Lets's calculate GCF of 491,252,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318285730/1

Therefore the LCM of Fractions 802/491,986/252,805/795 is 318285730

Greatest Common Factor of 491,252,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,252,795 By Matching Biggest Common Factor Method

Factors of 491

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

1,491

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 491,252,795 . The biggest common factor number is the GCF number.
So the greatest common factor 491,252,795 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/491, 986/252, 805/795

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 802/491, 986/252, 805/795?

Answer: LCM of Numerators as per given numbers 802/491, 986/252, 805/795 is

LCM of Numerators i.e. for 802,986,805 is 318285730

GCF of denominators i.e. for 491,252,795 is 1.

Thus, LCM of Fractions is 318285730.Finally, LCM of Fractions for 802/491, 986/252, 805/795 is 318285730.