Least Common Multiple of 205/76, 5012/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/76, 5012/792 quickly i.e. 256865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/76, 5012/792 is 256865.

LCM(205/76, 5012/792) = 256865

LCM of 205/76, 5012/792

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 205/76,5012/792

Given numbers are 205/76,5012/792

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 205,5012

Least Common Multiple of Numerators i.e. LCM of 205,5012 is 1027460.

GCF of Denominators means GCF of 76,792 as per the given fractions.

GCF of 76,792 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,5012

LCM of Fractions 205/76,5012/792 is 256865

Given numbers has no common factors except 1. So, there LCM is their product i.e 1027460

Least Common Multiple of 205,5012 with GCF Formula

Least Common Multiple of 205,5012 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 205,5012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,5012) = 1

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

GCF(205,5012) x common factors =1 x 1 = 1

LCM(205,5012) = ( 205 × 5012 ) / 1

LCM(205,5012) = 1027460 / 1

LCM(205,5012) = 1027460


Lets's calculate GCF of 76,792

2 76, 792
2 38, 396
19, 198

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1027460/4

Therefore the LCM of Fractions 205/76,5012/792 is 256865

Greatest Common Factor of 76,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,792 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 76,792 . The biggest common factor number is the GCF number.
So the greatest common factor 76,792 is 4.


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 205/76, 5012/792

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 205/76, 5012/792?

Answer: LCM of Numerators as per given numbers 205/76, 5012/792 is

LCM of Numerators i.e. for 205,5012 is 1027460

GCF of denominators i.e. for 76,792 is 4.

Thus, LCM of Fractions is 256865.Finally, LCM of Fractions for 205/76, 5012/792 is 256865.