Least Common Multiple of 68/15, 78/88, 20/96, 46/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/15, 78/88, 20/96, 46/241 quickly i.e. 304980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/15, 78/88, 20/96, 46/241 is 304980.

LCM(68/15, 78/88, 20/96, 46/241) = 304980

LCM of 68/15, 78/88, 20/96, 46/241

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 68/15,78/88,20/96,46/241

Given numbers are 68/15,78/88,20/96,46/241

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 68,78,20,46

Least Common Multiple of Numerators i.e. LCM of 68,78,20,46 is 304980.

GCF of Denominators means GCF of 15,88,96,241 as per the given fractions.

GCF of 15,88,96,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,78,20,46

LCM of Fractions 68/15,78/88,20/96,46/241 is 304980

2 68, 78, 20, 46
2 34, 39, 10, 23
17, 39, 5, 23

∴ So the LCM of the given numbers is 2 x 2 x 17 x 39 x 5 x 23 = 304980

Least Common Multiple of 68,78,20,46 with GCF Formula

Least Common Multiple of 68,78,20,46 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 68,78,20,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,20,46) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(68,78,20,46) x common factors =2 x 8 = 16

LCM(68,78,20,46) = ( 68 × 78 × 20 × 46 ) / 16

LCM(68,78,20,46) = 4879680 / 16

LCM(68,78,20,46) = 304980


Lets's calculate GCF of 15,88,96,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304980/1

Therefore the LCM of Fractions 68/15,78/88,20/96,46/241 is 304980

Greatest Common Factor of 15,88,96,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,88,96,241 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 15,88,96,241 . The biggest common factor number is the GCF number.
So the greatest common factor 15,88,96,241 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 68/15, 78/88, 20/96, 46/241

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 68/15, 78/88, 20/96, 46/241?

Answer: LCM of Numerators as per given numbers 68/15, 78/88, 20/96, 46/241 is

LCM of Numerators i.e. for 68,78,20,46 is 304980

GCF of denominators i.e. for 15,88,96,241 is 1.

Thus, LCM of Fractions is 304980.Finally, LCM of Fractions for 68/15, 78/88, 20/96, 46/241 is 304980.