Least Common Multiple of 82/78, 12/14, 480/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/78, 12/14, 480/190 quickly i.e. 9840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/78, 12/14, 480/190 is 9840.

LCM(82/78, 12/14, 480/190) = 9840

LCM of 82/78, 12/14, 480/190

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 82/78,12/14,480/190

Given numbers are 82/78,12/14,480/190

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 82,12,480

Least Common Multiple of Numerators i.e. LCM of 82,12,480 is 19680.

GCF of Denominators means GCF of 78,14,190 as per the given fractions.

GCF of 78,14,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,12,480

LCM of Fractions 82/78,12/14,480/190 is 9840

2 82, 12, 480
2 41, 6, 240
3 41, 3, 120
41, 1, 40

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 1 x 40 = 19680

Least Common Multiple of 82,12,480 with GCF Formula

Least Common Multiple of 82,12,480 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 82,12,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,12,480) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(82,12,480) x common factors =2 x 12 = 24

LCM(82,12,480) = ( 82 × 12 × 480 ) / 24

LCM(82,12,480) = 472320 / 24

LCM(82,12,480) = 19680


Lets's calculate GCF of 78,14,190

2 78, 14, 190
39, 7, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19680/2

Therefore the LCM of Fractions 82/78,12/14,480/190 is 9840

Greatest Common Factor of 78,14,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,14,190 By Matching Biggest Common Factor Method

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 78,14,190 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,190 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 82/78, 12/14, 480/190

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 82/78, 12/14, 480/190?

Answer: LCM of Numerators as per given numbers 82/78, 12/14, 480/190 is

LCM of Numerators i.e. for 82,12,480 is 19680

GCF of denominators i.e. for 78,14,190 is 2.

Thus, LCM of Fractions is 9840.Finally, LCM of Fractions for 82/78, 12/14, 480/190 is 9840.