Least Common Multiple of 9973/742, 5784/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9973/742, 5784/464 quickly i.e. 28841916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9973/742, 5784/464 is 28841916.

LCM(9973/742, 5784/464) = 28841916

LCM of 9973/742, 5784/464

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 9973/742,5784/464

Given numbers are 9973/742,5784/464

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 9973,5784

Least Common Multiple of Numerators i.e. LCM of 9973,5784 is 57683832.

GCF of Denominators means GCF of 742,464 as per the given fractions.

GCF of 742,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9973,5784

LCM of Fractions 9973/742,5784/464 is 28841916

Given numbers has no common factors except 1. So, there LCM is their product i.e 57683832

Least Common Multiple of 9973,5784 with GCF Formula

Least Common Multiple of 9973,5784 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 9973,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9973,5784) = 1

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

GCF(9973,5784) x common factors =1 x 1 = 1

LCM(9973,5784) = ( 9973 × 5784 ) / 1

LCM(9973,5784) = 57683832 / 1

LCM(9973,5784) = 57683832


Lets's calculate GCF of 742,464

2 742, 464
371, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57683832/2

Therefore the LCM of Fractions 9973/742,5784/464 is 28841916

Greatest Common Factor of 742,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,464 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 742,464 . The biggest common factor number is the GCF number.
So the greatest common factor 742,464 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 9973/742, 5784/464

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 9973/742, 5784/464?

Answer: LCM of Numerators as per given numbers 9973/742, 5784/464 is

LCM of Numerators i.e. for 9973,5784 is 57683832

GCF of denominators i.e. for 742,464 is 2.

Thus, LCM of Fractions is 28841916.Finally, LCM of Fractions for 9973/742, 5784/464 is 28841916.