Least Common Multiple of 68/756, 765/734, 113/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/756, 765/734, 113/991 quickly i.e. 345780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/756, 765/734, 113/991 is 345780.

LCM(68/756, 765/734, 113/991) = 345780

LCM of 68/756, 765/734, 113/991

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 68/756,765/734,113/991

Given numbers are 68/756,765/734,113/991

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 68,765,113

Least Common Multiple of Numerators i.e. LCM of 68,765,113 is 345780.

GCF of Denominators means GCF of 756,734,991 as per the given fractions.

GCF of 756,734,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,765,113

LCM of Fractions 68/756,765/734,113/991 is 345780

17 68, 765, 113
4, 45, 113

∴ So the LCM of the given numbers is 17 x 4 x 45 x 113 = 345780

Least Common Multiple of 68,765,113 with GCF Formula

Least Common Multiple of 68,765,113 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 68,765,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,765,113) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(68,765,113) x common factors =1 x 17 = 17

LCM(68,765,113) = ( 68 × 765 × 113 ) / 17

LCM(68,765,113) = 5878260 / 17

LCM(68,765,113) = 345780


Lets's calculate GCF of 756,734,991

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345780/1

Therefore the LCM of Fractions 68/756,765/734,113/991 is 345780

Greatest Common Factor of 756,734,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,734,991 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 756,734,991 . The biggest common factor number is the GCF number.
So the greatest common factor 756,734,991 is 1.


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 68/756, 765/734, 113/991

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 68/756, 765/734, 113/991?

Answer: LCM of Numerators as per given numbers 68/756, 765/734, 113/991 is

LCM of Numerators i.e. for 68,765,113 is 345780

GCF of denominators i.e. for 756,734,991 is 1.

Thus, LCM of Fractions is 345780.Finally, LCM of Fractions for 68/756, 765/734, 113/991 is 345780.