Least Common Multiple of 68/768, 9360/6860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/768, 9360/6860 quickly i.e. 39780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/768, 9360/6860 is 39780.

LCM(68/768, 9360/6860) = 39780

LCM of 68/768, 9360/6860

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 68/768,9360/6860

Given numbers are 68/768,9360/6860

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 68,9360

Least Common Multiple of Numerators i.e. LCM of 68,9360 is 159120.

GCF of Denominators means GCF of 768,6860 as per the given fractions.

GCF of 768,6860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,9360

LCM of Fractions 68/768,9360/6860 is 39780

2 68, 9360
2 34, 4680
17, 2340

∴ So the LCM of the given numbers is 2 x 2 x 17 x 2340 = 159120

Least Common Multiple of 68,9360 with GCF Formula

Least Common Multiple of 68,9360 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 68,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,9360) = 4

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

GCF(68,9360) x common factors =4 x 1 = 4

LCM(68,9360) = ( 68 × 9360 ) / 4

LCM(68,9360) = 636480 / 4

LCM(68,9360) = 159120


Lets's calculate GCF of 768,6860

2 768, 6860
2 384, 3430
192, 1715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159120/4

Therefore the LCM of Fractions 68/768,9360/6860 is 39780

Greatest Common Factor of 768,6860 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,6860 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors 768,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 768,6860 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 68/768, 9360/6860

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 68/768, 9360/6860?

Answer: LCM of Numerators as per given numbers 68/768, 9360/6860 is

LCM of Numerators i.e. for 68,9360 is 159120

GCF of denominators i.e. for 768,6860 is 4.

Thus, LCM of Fractions is 39780.Finally, LCM of Fractions for 68/768, 9360/6860 is 39780.