Least Common Multiple of 762/24, 517/5782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/24, 517/5782 quickly i.e. 196977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/24, 517/5782 is 196977.

LCM(762/24, 517/5782) = 196977

LCM of 762/24, 517/5782

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 762/24,517/5782

Given numbers are 762/24,517/5782

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 762,517

Least Common Multiple of Numerators i.e. LCM of 762,517 is 393954.

GCF of Denominators means GCF of 24,5782 as per the given fractions.

GCF of 24,5782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,517

LCM of Fractions 762/24,517/5782 is 196977

Given numbers has no common factors except 1. So, there LCM is their product i.e 393954

Least Common Multiple of 762,517 with GCF Formula

Least Common Multiple of 762,517 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 762,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,517) = 1

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

GCF(762,517) x common factors =1 x 1 = 1

LCM(762,517) = ( 762 × 517 ) / 1

LCM(762,517) = 393954 / 1

LCM(762,517) = 393954


Lets's calculate GCF of 24,5782

2 24, 5782
12, 2891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393954/2

Therefore the LCM of Fractions 762/24,517/5782 is 196977

Greatest Common Factor of 24,5782 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,5782 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1,2,7,14,49,59,98,118,413,826,2891,5782

Greatest Common Factor

We found the factors 24,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 24,5782 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 762/24, 517/5782

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 762/24, 517/5782?

Answer: LCM of Numerators as per given numbers 762/24, 517/5782 is

LCM of Numerators i.e. for 762,517 is 393954

GCF of denominators i.e. for 24,5782 is 2.

Thus, LCM of Fractions is 196977.Finally, LCM of Fractions for 762/24, 517/5782 is 196977.