Least Common Multiple of 9992/771, 5823/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9992/771, 5823/120 quickly i.e. 19394472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9992/771, 5823/120 is 19394472.

LCM(9992/771, 5823/120) = 19394472

LCM of 9992/771, 5823/120

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 9992/771,5823/120

Given numbers are 9992/771,5823/120

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 9992,5823

Least Common Multiple of Numerators i.e. LCM of 9992,5823 is 58183416.

GCF of Denominators means GCF of 771,120 as per the given fractions.

GCF of 771,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9992,5823

LCM of Fractions 9992/771,5823/120 is 19394472

Given numbers has no common factors except 1. So, there LCM is their product i.e 58183416

Least Common Multiple of 9992,5823 with GCF Formula

Least Common Multiple of 9992,5823 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 9992,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9992,5823) = 1

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

GCF(9992,5823) x common factors =1 x 1 = 1

LCM(9992,5823) = ( 9992 × 5823 ) / 1

LCM(9992,5823) = 58183416 / 1

LCM(9992,5823) = 58183416


Lets's calculate GCF of 771,120

3 771, 120
257, 40

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58183416/3

Therefore the LCM of Fractions 9992/771,5823/120 is 19394472

Greatest Common Factor of 771,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,120 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 771,120 . The biggest common factor number is the GCF number.
So the greatest common factor 771,120 is 3.


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 9992/771, 5823/120

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 9992/771, 5823/120?

Answer: LCM of Numerators as per given numbers 9992/771, 5823/120 is

LCM of Numerators i.e. for 9992,5823 is 58183416

GCF of denominators i.e. for 771,120 is 3.

Thus, LCM of Fractions is 19394472.Finally, LCM of Fractions for 9992/771, 5823/120 is 19394472.