Least Common Multiple of 31/784, 3922/8508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/784, 3922/8508 quickly i.e. 121582/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/784, 3922/8508 is 121582/4.

LCM(31/784, 3922/8508) = 121582/4

LCM of 31/784, 3922/8508

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 31/784,3922/8508

Given numbers are 31/784,3922/8508

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 31,3922

Least Common Multiple of Numerators i.e. LCM of 31,3922 is 121582.

GCF of Denominators means GCF of 784,8508 as per the given fractions.

GCF of 784,8508 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,3922

LCM of Fractions 31/784,3922/8508 is 121582/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 121582

Least Common Multiple of 31,3922 with GCF Formula

Least Common Multiple of 31,3922 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 31,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,3922) = 1

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

GCF(31,3922) x common factors =1 x 1 = 1

LCM(31,3922) = ( 31 × 3922 ) / 1

LCM(31,3922) = 121582 / 1

LCM(31,3922) = 121582


Lets's calculate GCF of 784,8508

2 784, 8508
2 392, 4254
196, 2127

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121582/4

Therefore the LCM of Fractions 31/784,3922/8508 is 121582/4

Greatest Common Factor of 784,8508 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,8508 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1,2,3,4,6,12,709,1418,2127,2836,4254,8508

Greatest Common Factor

We found the factors 784,8508 . The biggest common factor number is the GCF number.
So the greatest common factor 784,8508 is 4.


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 31/784, 3922/8508

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 31/784, 3922/8508?

Answer: LCM of Numerators as per given numbers 31/784, 3922/8508 is

LCM of Numerators i.e. for 31,3922 is 121582

GCF of denominators i.e. for 784,8508 is 4.

Thus, LCM of Fractions is 121582/4.Finally, LCM of Fractions for 31/784, 3922/8508 is 121582/4.