Least Common Multiple of 766/76, 799/6728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 766/76, 799/6728 quickly i.e. 612034/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/76, 799/6728 is 612034/4.

LCM(766/76, 799/6728) = 612034/4

LCM of 766/76, 799/6728

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 766/76,799/6728

Given numbers are 766/76,799/6728

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 766,799

Least Common Multiple of Numerators i.e. LCM of 766,799 is 612034.

GCF of Denominators means GCF of 76,6728 as per the given fractions.

GCF of 76,6728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,799

LCM of Fractions 766/76,799/6728 is 612034/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 612034

Least Common Multiple of 766,799 with GCF Formula

Least Common Multiple of 766,799 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 766,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,799) = 1

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

GCF(766,799) x common factors =1 x 1 = 1

LCM(766,799) = ( 766 × 799 ) / 1

LCM(766,799) = 612034 / 1

LCM(766,799) = 612034


Lets's calculate GCF of 76,6728

2 76, 6728
2 38, 3364
19, 1682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612034/4

Therefore the LCM of Fractions 766/76,799/6728 is 612034/4

Greatest Common Factor of 76,6728 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,6728 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 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Greatest Common Factor

We found the factors 76,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 76,6728 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 766/76, 799/6728

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 766/76, 799/6728?

Answer: LCM of Numerators as per given numbers 766/76, 799/6728 is

LCM of Numerators i.e. for 766,799 is 612034

GCF of denominators i.e. for 76,6728 is 4.

Thus, LCM of Fractions is 612034/4.Finally, LCM of Fractions for 766/76, 799/6728 is 612034/4.