Least Common Multiple of 316/590, 9959/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 316/590, 9959/798 quickly i.e. 1573522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/590, 9959/798 is 1573522.

LCM(316/590, 9959/798) = 1573522

LCM of 316/590, 9959/798

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 316/590,9959/798

Given numbers are 316/590,9959/798

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 316,9959

Least Common Multiple of Numerators i.e. LCM of 316,9959 is 3147044.

GCF of Denominators means GCF of 590,798 as per the given fractions.

GCF of 590,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,9959

LCM of Fractions 316/590,9959/798 is 1573522

Given numbers has no common factors except 1. So, there LCM is their product i.e 3147044

Least Common Multiple of 316,9959 with GCF Formula

Least Common Multiple of 316,9959 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 316,9959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,9959) = 1

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

GCF(316,9959) x common factors =1 x 1 = 1

LCM(316,9959) = ( 316 × 9959 ) / 1

LCM(316,9959) = 3147044 / 1

LCM(316,9959) = 3147044


Lets's calculate GCF of 590,798

2 590, 798
295, 399

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3147044/2

Therefore the LCM of Fractions 316/590,9959/798 is 1573522

Greatest Common Factor of 590,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,798 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 590,798 . The biggest common factor number is the GCF number.
So the greatest common factor 590,798 is 2.


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Frequently Asked Questions on Fractional LCM of 316/590, 9959/798

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 316/590, 9959/798?

Answer: LCM of Numerators as per given numbers 316/590, 9959/798 is

LCM of Numerators i.e. for 316,9959 is 3147044

GCF of denominators i.e. for 590,798 is 2.

Thus, LCM of Fractions is 1573522.Finally, LCM of Fractions for 316/590, 9959/798 is 1573522.