Least Common Multiple of 5952/784, 8862/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5952/784, 8862/993 quickly i.e. 8791104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5952/784, 8862/993 is 8791104.

LCM(5952/784, 8862/993) = 8791104

LCM of 5952/784, 8862/993

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 5952/784,8862/993

Given numbers are 5952/784,8862/993

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 5952,8862

Least Common Multiple of Numerators i.e. LCM of 5952,8862 is 8791104.

GCF of Denominators means GCF of 784,993 as per the given fractions.

GCF of 784,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5952,8862

LCM of Fractions 5952/784,8862/993 is 8791104

2 5952, 8862
3 2976, 4431
992, 1477

∴ So the LCM of the given numbers is 2 x 3 x 992 x 1477 = 8791104

Least Common Multiple of 5952,8862 with GCF Formula

Least Common Multiple of 5952,8862 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 5952,8862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5952,8862) = 6

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

GCF(5952,8862) x common factors =6 x 1 = 6

LCM(5952,8862) = ( 5952 × 8862 ) / 6

LCM(5952,8862) = 52746624 / 6

LCM(5952,8862) = 8791104


Lets's calculate GCF of 784,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8791104/1

Therefore the LCM of Fractions 5952/784,8862/993 is 8791104

Greatest Common Factor of 784,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,993 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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 784,993 . The biggest common factor number is the GCF number.
So the greatest common factor 784,993 is 1.


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 5952/784, 8862/993

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 5952/784, 8862/993?

Answer: LCM of Numerators as per given numbers 5952/784, 8862/993 is

LCM of Numerators i.e. for 5952,8862 is 8791104

GCF of denominators i.e. for 784,993 is 1.

Thus, LCM of Fractions is 8791104.Finally, LCM of Fractions for 5952/784, 8862/993 is 8791104.