Least Common Multiple of 6668/799, 7804/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6668/799, 7804/782 quickly i.e. 13009268/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6668/799, 7804/782 is 13009268/17.

LCM(6668/799, 7804/782) = 13009268/17

LCM of 6668/799, 7804/782

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 6668/799,7804/782

Given numbers are 6668/799,7804/782

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 6668,7804

Least Common Multiple of Numerators i.e. LCM of 6668,7804 is 13009268.

GCF of Denominators means GCF of 799,782 as per the given fractions.

GCF of 799,782 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6668,7804

LCM of Fractions 6668/799,7804/782 is 13009268/17

2 6668, 7804
2 3334, 3902
1667, 1951

∴ So the LCM of the given numbers is 2 x 2 x 1667 x 1951 = 13009268

Least Common Multiple of 6668,7804 with GCF Formula

Least Common Multiple of 6668,7804 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 6668,7804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6668,7804) = 4

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

GCF(6668,7804) x common factors =4 x 1 = 4

LCM(6668,7804) = ( 6668 × 7804 ) / 4

LCM(6668,7804) = 52037072 / 4

LCM(6668,7804) = 13009268


Lets's calculate GCF of 799,782

17 799, 782
47, 46

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13009268/17

Therefore the LCM of Fractions 6668/799,7804/782 is 13009268/17

Greatest Common Factor of 799,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,782 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 799,782 . The biggest common factor number is the GCF number.
So the greatest common factor 799,782 is 17.


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 6668/799, 7804/782

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 6668/799, 7804/782?

Answer: LCM of Numerators as per given numbers 6668/799, 7804/782 is

LCM of Numerators i.e. for 6668,7804 is 13009268

GCF of denominators i.e. for 799,782 is 17.

Thus, LCM of Fractions is 13009268/17.Finally, LCM of Fractions for 6668/799, 7804/782 is 13009268/17.