Least Common Multiple of 4937/317, 3842/8492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4937/317, 3842/8492 quickly i.e. 18967954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4937/317, 3842/8492 is 18967954.

LCM(4937/317, 3842/8492) = 18967954

LCM of 4937/317, 3842/8492

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 4937/317,3842/8492

Given numbers are 4937/317,3842/8492

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 4937,3842

Least Common Multiple of Numerators i.e. LCM of 4937,3842 is 18967954.

GCF of Denominators means GCF of 317,8492 as per the given fractions.

GCF of 317,8492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4937,3842

LCM of Fractions 4937/317,3842/8492 is 18967954

Given numbers has no common factors except 1. So, there LCM is their product i.e 18967954

Least Common Multiple of 4937,3842 with GCF Formula

Least Common Multiple of 4937,3842 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 4937,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4937,3842) = 1

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

GCF(4937,3842) x common factors =1 x 1 = 1

LCM(4937,3842) = ( 4937 × 3842 ) / 1

LCM(4937,3842) = 18967954 / 1

LCM(4937,3842) = 18967954


Lets's calculate GCF of 317,8492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18967954/1

Therefore the LCM of Fractions 4937/317,3842/8492 is 18967954

Greatest Common Factor of 317,8492 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,8492 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors 317,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 317,8492 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4937/317, 3842/8492

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 4937/317, 3842/8492?

Answer: LCM of Numerators as per given numbers 4937/317, 3842/8492 is

LCM of Numerators i.e. for 4937,3842 is 18967954

GCF of denominators i.e. for 317,8492 is 1.

Thus, LCM of Fractions is 18967954.Finally, LCM of Fractions for 4937/317, 3842/8492 is 18967954.