Least Common Multiple of 6781/76, 7722/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6781/76, 7722/476 quickly i.e. 52362882/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6781/76, 7722/476 is 52362882/4.

LCM(6781/76, 7722/476) = 52362882/4

LCM of 6781/76, 7722/476

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 6781/76,7722/476

Given numbers are 6781/76,7722/476

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 6781,7722

Least Common Multiple of Numerators i.e. LCM of 6781,7722 is 52362882.

GCF of Denominators means GCF of 76,476 as per the given fractions.

GCF of 76,476 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6781,7722

LCM of Fractions 6781/76,7722/476 is 52362882/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 52362882

Least Common Multiple of 6781,7722 with GCF Formula

Least Common Multiple of 6781,7722 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 6781,7722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6781,7722) = 1

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

GCF(6781,7722) x common factors =1 x 1 = 1

LCM(6781,7722) = ( 6781 × 7722 ) / 1

LCM(6781,7722) = 52362882 / 1

LCM(6781,7722) = 52362882


Lets's calculate GCF of 76,476

2 76, 476
2 38, 238
19, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52362882/4

Therefore the LCM of Fractions 6781/76,7722/476 is 52362882/4

Greatest Common Factor of 76,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,476 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 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 76,476 . The biggest common factor number is the GCF number.
So the greatest common factor 76,476 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 6781/76, 7722/476

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 6781/76, 7722/476?

Answer: LCM of Numerators as per given numbers 6781/76, 7722/476 is

LCM of Numerators i.e. for 6781,7722 is 52362882

GCF of denominators i.e. for 76,476 is 4.

Thus, LCM of Fractions is 52362882/4.Finally, LCM of Fractions for 6781/76, 7722/476 is 52362882/4.