Least Common Multiple of 17/69, 57/10, 68/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/69, 57/10, 68/678 quickly i.e. 3876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/69, 57/10, 68/678 is 3876.

LCM(17/69, 57/10, 68/678) = 3876

LCM of 17/69, 57/10, 68/678

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 17/69,57/10,68/678

Given numbers are 17/69,57/10,68/678

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 17,57,68

Least Common Multiple of Numerators i.e. LCM of 17,57,68 is 3876.

GCF of Denominators means GCF of 69,10,678 as per the given fractions.

GCF of 69,10,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,57,68

LCM of Fractions 17/69,57/10,68/678 is 3876

17 17, 57, 68
1, 57, 4

∴ So the LCM of the given numbers is 17 x 1 x 57 x 4 = 3876

Least Common Multiple of 17,57,68 with GCF Formula

Least Common Multiple of 17,57,68 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 17,57,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,57,68) = 1

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

GCF(17,57,68) x common factors =1 x 17 = 17

LCM(17,57,68) = ( 17 × 57 × 68 ) / 17

LCM(17,57,68) = 65892 / 17

LCM(17,57,68) = 3876


Lets's calculate GCF of 69,10,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3876/1

Therefore the LCM of Fractions 17/69,57/10,68/678 is 3876

Greatest Common Factor of 69,10,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,10,678 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 69,10,678 . The biggest common factor number is the GCF number.
So the greatest common factor 69,10,678 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 17/69, 57/10, 68/678

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 17/69, 57/10, 68/678?

Answer: LCM of Numerators as per given numbers 17/69, 57/10, 68/678 is

LCM of Numerators i.e. for 17,57,68 is 3876

GCF of denominators i.e. for 69,10,678 is 1.

Thus, LCM of Fractions is 3876.Finally, LCM of Fractions for 17/69, 57/10, 68/678 is 3876.