Least Common Multiple of 317/992, 4961/3630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/992, 4961/3630 quickly i.e. 1572637/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/992, 4961/3630 is 1572637/2.

LCM(317/992, 4961/3630) = 1572637/2

LCM of 317/992, 4961/3630

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 317/992,4961/3630

Given numbers are 317/992,4961/3630

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 317,4961

Least Common Multiple of Numerators i.e. LCM of 317,4961 is 1572637.

GCF of Denominators means GCF of 992,3630 as per the given fractions.

GCF of 992,3630 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,4961

LCM of Fractions 317/992,4961/3630 is 1572637/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1572637

Least Common Multiple of 317,4961 with GCF Formula

Least Common Multiple of 317,4961 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 317,4961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,4961) = 1

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

GCF(317,4961) x common factors =1 x 1 = 1

LCM(317,4961) = ( 317 × 4961 ) / 1

LCM(317,4961) = 1572637 / 1

LCM(317,4961) = 1572637


Lets's calculate GCF of 992,3630

2 992, 3630
496, 1815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1572637/2

Therefore the LCM of Fractions 317/992,4961/3630 is 1572637/2

Greatest Common Factor of 992,3630 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,3630 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630

Greatest Common Factor

We found the factors 992,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 992,3630 is 2.


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 317/992, 4961/3630

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 317/992, 4961/3630?

Answer: LCM of Numerators as per given numbers 317/992, 4961/3630 is

LCM of Numerators i.e. for 317,4961 is 1572637

GCF of denominators i.e. for 992,3630 is 2.

Thus, LCM of Fractions is 1572637/2.Finally, LCM of Fractions for 317/992, 4961/3630 is 1572637/2.