Least Common Multiple of 68/84, 17/51, 39/41, 41/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/84, 17/51, 39/41, 41/315 quickly i.e. 108732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/84, 17/51, 39/41, 41/315 is 108732.

LCM(68/84, 17/51, 39/41, 41/315) = 108732

LCM of 68/84, 17/51, 39/41, 41/315

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 68/84,17/51,39/41,41/315

Given numbers are 68/84,17/51,39/41,41/315

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 68,17,39,41

Least Common Multiple of Numerators i.e. LCM of 68,17,39,41 is 108732.

GCF of Denominators means GCF of 84,51,41,315 as per the given fractions.

GCF of 84,51,41,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,17,39,41

LCM of Fractions 68/84,17/51,39/41,41/315 is 108732

17 68, 17, 39, 41
4, 1, 39, 41

∴ So the LCM of the given numbers is 17 x 4 x 1 x 39 x 41 = 108732

Least Common Multiple of 68,17,39,41 with GCF Formula

Least Common Multiple of 68,17,39,41 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 68,17,39,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,17,39,41) = 1

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

GCF(68,17,39,41) x common factors =1 x 17 = 17

LCM(68,17,39,41) = ( 68 × 17 × 39 × 41 ) / 17

LCM(68,17,39,41) = 1848444 / 17

LCM(68,17,39,41) = 108732


Lets's calculate GCF of 84,51,41,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108732/1

Therefore the LCM of Fractions 68/84,17/51,39/41,41/315 is 108732

Greatest Common Factor of 84,51,41,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,51,41,315 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 84,51,41,315 . The biggest common factor number is the GCF number.
So the greatest common factor 84,51,41,315 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 68/84, 17/51, 39/41, 41/315

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 68/84, 17/51, 39/41, 41/315?

Answer: LCM of Numerators as per given numbers 68/84, 17/51, 39/41, 41/315 is

LCM of Numerators i.e. for 68,17,39,41 is 108732

GCF of denominators i.e. for 84,51,41,315 is 1.

Thus, LCM of Fractions is 108732.Finally, LCM of Fractions for 68/84, 17/51, 39/41, 41/315 is 108732.