Least Common Multiple of 5793/463, 9749/2894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5793/463, 9749/2894 quickly i.e. 56475957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5793/463, 9749/2894 is 56475957.

LCM(5793/463, 9749/2894) = 56475957

LCM of 5793/463, 9749/2894

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 5793/463,9749/2894

Given numbers are 5793/463,9749/2894

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 5793,9749

Least Common Multiple of Numerators i.e. LCM of 5793,9749 is 56475957.

GCF of Denominators means GCF of 463,2894 as per the given fractions.

GCF of 463,2894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5793,9749

LCM of Fractions 5793/463,9749/2894 is 56475957

Given numbers has no common factors except 1. So, there LCM is their product i.e 56475957

Least Common Multiple of 5793,9749 with GCF Formula

Least Common Multiple of 5793,9749 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 5793,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5793,9749) = 1

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

GCF(5793,9749) x common factors =1 x 1 = 1

LCM(5793,9749) = ( 5793 × 9749 ) / 1

LCM(5793,9749) = 56475957 / 1

LCM(5793,9749) = 56475957


Lets's calculate GCF of 463,2894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56475957/1

Therefore the LCM of Fractions 5793/463,9749/2894 is 56475957

Greatest Common Factor of 463,2894 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,2894 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 2894

List of positive integer factors of 2894 that divides 2894 without a remainder.

1,2,1447,2894

Greatest Common Factor

We found the factors 463,2894 . The biggest common factor number is the GCF number.
So the greatest common factor 463,2894 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 5793/463, 9749/2894

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 5793/463, 9749/2894?

Answer: LCM of Numerators as per given numbers 5793/463, 9749/2894 is

LCM of Numerators i.e. for 5793,9749 is 56475957

GCF of denominators i.e. for 463,2894 is 1.

Thus, LCM of Fractions is 56475957.Finally, LCM of Fractions for 5793/463, 9749/2894 is 56475957.