Least Common Multiple of 68/639, 29/306, 696/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/639, 29/306, 696/760 quickly i.e. 11832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/639, 29/306, 696/760 is 11832.

LCM(68/639, 29/306, 696/760) = 11832

LCM of 68/639, 29/306, 696/760

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 68/639,29/306,696/760

Given numbers are 68/639,29/306,696/760

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 68,29,696

Least Common Multiple of Numerators i.e. LCM of 68,29,696 is 11832.

GCF of Denominators means GCF of 639,306,760 as per the given fractions.

GCF of 639,306,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,29,696

LCM of Fractions 68/639,29/306,696/760 is 11832

2 68, 29, 696
2 34, 29, 348
29 17, 29, 174
17, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 29 x 17 x 1 x 6 = 11832

Least Common Multiple of 68,29,696 with GCF Formula

Least Common Multiple of 68,29,696 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 68,29,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,29,696) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(68,29,696) x common factors =1 x 116 = 116

LCM(68,29,696) = ( 68 × 29 × 696 ) / 116

LCM(68,29,696) = 1372512 / 116

LCM(68,29,696) = 11832


Lets's calculate GCF of 639,306,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11832/1

Therefore the LCM of Fractions 68/639,29/306,696/760 is 11832

Greatest Common Factor of 639,306,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,306,760 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 639,306,760 . The biggest common factor number is the GCF number.
So the greatest common factor 639,306,760 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 68/639, 29/306, 696/760

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 68/639, 29/306, 696/760?

Answer: LCM of Numerators as per given numbers 68/639, 29/306, 696/760 is

LCM of Numerators i.e. for 68,29,696 is 11832

GCF of denominators i.e. for 639,306,760 is 1.

Thus, LCM of Fractions is 11832.Finally, LCM of Fractions for 68/639, 29/306, 696/760 is 11832.