Least Common Multiple of 19/63, 72/78, 77/60, 68/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/63, 72/78, 77/60, 68/240 quickly i.e. 596904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/63, 72/78, 77/60, 68/240 is 596904.

LCM(19/63, 72/78, 77/60, 68/240) = 596904

LCM of 19/63, 72/78, 77/60, 68/240

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 19/63,72/78,77/60,68/240

Given numbers are 19/63,72/78,77/60,68/240

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 19,72,77,68

Least Common Multiple of Numerators i.e. LCM of 19,72,77,68 is 1790712.

GCF of Denominators means GCF of 63,78,60,240 as per the given fractions.

GCF of 63,78,60,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,72,77,68

LCM of Fractions 19/63,72/78,77/60,68/240 is 596904

2 19, 72, 77, 68
2 19, 36, 77, 34
19, 18, 77, 17

∴ So the LCM of the given numbers is 2 x 2 x 19 x 18 x 77 x 17 = 1790712

Least Common Multiple of 19,72,77,68 with GCF Formula

Least Common Multiple of 19,72,77,68 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 19,72,77,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,72,77,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,72,77,68) x common factors =1 x 4 = 4

LCM(19,72,77,68) = ( 19 × 72 × 77 × 68 ) / 4

LCM(19,72,77,68) = 7162848 / 4

LCM(19,72,77,68) = 1790712


Lets's calculate GCF of 63,78,60,240

3 63, 78, 60, 240
21, 26, 20, 80

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1790712/3

Therefore the LCM of Fractions 19/63,72/78,77/60,68/240 is 596904

Greatest Common Factor of 63,78,60,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,78,60,240 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 63,78,60,240 . The biggest common factor number is the GCF number.
So the greatest common factor 63,78,60,240 is 3.


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 19/63, 72/78, 77/60, 68/240

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 19/63, 72/78, 77/60, 68/240?

Answer: LCM of Numerators as per given numbers 19/63, 72/78, 77/60, 68/240 is

LCM of Numerators i.e. for 19,72,77,68 is 1790712

GCF of denominators i.e. for 63,78,60,240 is 3.

Thus, LCM of Fractions is 596904.Finally, LCM of Fractions for 19/63, 72/78, 77/60, 68/240 is 596904.