Least Common Multiple of 802/387, 5798/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/387, 5798/916 quickly i.e. 2324998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/387, 5798/916 is 2324998.

LCM(802/387, 5798/916) = 2324998

LCM of 802/387, 5798/916

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 802/387,5798/916

Given numbers are 802/387,5798/916

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 802,5798

Least Common Multiple of Numerators i.e. LCM of 802,5798 is 2324998.

GCF of Denominators means GCF of 387,916 as per the given fractions.

GCF of 387,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,5798

LCM of Fractions 802/387,5798/916 is 2324998

2 802, 5798
401, 2899

∴ So the LCM of the given numbers is 2 x 401 x 2899 = 2324998

Least Common Multiple of 802,5798 with GCF Formula

Least Common Multiple of 802,5798 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 802,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,5798) = 2

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

GCF(802,5798) x common factors =2 x 1 = 2

LCM(802,5798) = ( 802 × 5798 ) / 2

LCM(802,5798) = 4649996 / 2

LCM(802,5798) = 2324998


Lets's calculate GCF of 387,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2324998/1

Therefore the LCM of Fractions 802/387,5798/916 is 2324998

Greatest Common Factor of 387,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,916 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 387,916 . The biggest common factor number is the GCF number.
So the greatest common factor 387,916 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/387, 5798/916

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 802/387, 5798/916?

Answer: LCM of Numerators as per given numbers 802/387, 5798/916 is

LCM of Numerators i.e. for 802,5798 is 2324998

GCF of denominators i.e. for 387,916 is 1.

Thus, LCM of Fractions is 2324998.Finally, LCM of Fractions for 802/387, 5798/916 is 2324998.