Least Common Multiple of 19/86, 72/82, 78/16, 80/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/86, 72/82, 78/16, 80/312 quickly i.e. 88920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/86, 72/82, 78/16, 80/312 is 88920.

LCM(19/86, 72/82, 78/16, 80/312) = 88920

LCM of 19/86, 72/82, 78/16, 80/312

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 19/86,72/82,78/16,80/312

Given numbers are 19/86,72/82,78/16,80/312

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 19,72,78,80

Least Common Multiple of Numerators i.e. LCM of 19,72,78,80 is 177840.

GCF of Denominators means GCF of 86,82,16,312 as per the given fractions.

GCF of 86,82,16,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,72,78,80

LCM of Fractions 19/86,72/82,78/16,80/312 is 88920

2 19, 72, 78, 80
2 19, 36, 39, 40
2 19, 18, 39, 20
3 19, 9, 39, 10
19, 3, 13, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 3 x 13 x 10 = 177840

Least Common Multiple of 19,72,78,80 with GCF Formula

Least Common Multiple of 19,72,78,80 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 19,72,78,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,72,78,80) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(19,72,78,80) x common factors =1 x 48 = 48

LCM(19,72,78,80) = ( 19 × 72 × 78 × 80 ) / 48

LCM(19,72,78,80) = 8536320 / 48

LCM(19,72,78,80) = 177840


Lets's calculate GCF of 86,82,16,312

2 86, 82, 16, 312
43, 41, 8, 156

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177840/2

Therefore the LCM of Fractions 19/86,72/82,78/16,80/312 is 88920

Greatest Common Factor of 86,82,16,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,82,16,312 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 86,82,16,312 . The biggest common factor number is the GCF number.
So the greatest common factor 86,82,16,312 is 2.


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 19/86, 72/82, 78/16, 80/312

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 19/86, 72/82, 78/16, 80/312?

Answer: LCM of Numerators as per given numbers 19/86, 72/82, 78/16, 80/312 is

LCM of Numerators i.e. for 19,72,78,80 is 177840

GCF of denominators i.e. for 86,82,16,312 is 2.

Thus, LCM of Fractions is 88920.Finally, LCM of Fractions for 19/86, 72/82, 78/16, 80/312 is 88920.