Least Common Multiple of 76/282, 4771/5106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/282, 4771/5106 quickly i.e. 362596/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/282, 4771/5106 is 362596/6.

LCM(76/282, 4771/5106) = 362596/6

LCM of 76/282, 4771/5106

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 76/282,4771/5106

Given numbers are 76/282,4771/5106

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 76,4771

Least Common Multiple of Numerators i.e. LCM of 76,4771 is 362596.

GCF of Denominators means GCF of 282,5106 as per the given fractions.

GCF of 282,5106 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,4771

LCM of Fractions 76/282,4771/5106 is 362596/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 362596

Least Common Multiple of 76,4771 with GCF Formula

Least Common Multiple of 76,4771 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 76,4771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,4771) = 1

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

GCF(76,4771) x common factors =1 x 1 = 1

LCM(76,4771) = ( 76 × 4771 ) / 1

LCM(76,4771) = 362596 / 1

LCM(76,4771) = 362596


Lets's calculate GCF of 282,5106

2 282, 5106
3 141, 2553
47, 851

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362596/6

Therefore the LCM of Fractions 76/282,4771/5106 is 362596/6

Greatest Common Factor of 282,5106 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,5106 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 5106

List of positive integer factors of 5106 that divides 5106 without a remainder.

1,2,3,6,23,37,46,69,74,111,138,222,851,1702,2553,5106

Greatest Common Factor

We found the factors 282,5106 . The biggest common factor number is the GCF number.
So the greatest common factor 282,5106 is 6.


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 76/282, 4771/5106

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 76/282, 4771/5106?

Answer: LCM of Numerators as per given numbers 76/282, 4771/5106 is

LCM of Numerators i.e. for 76,4771 is 362596

GCF of denominators i.e. for 282,5106 is 6.

Thus, LCM of Fractions is 362596/6.Finally, LCM of Fractions for 76/282, 4771/5106 is 362596/6.