Least Common Multiple of 84/78, 976/24, 367/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/78, 976/24, 367/520 quickly i.e. 3761016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/78, 976/24, 367/520 is 3761016.

LCM(84/78, 976/24, 367/520) = 3761016

LCM of 84/78, 976/24, 367/520

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 84/78,976/24,367/520

Given numbers are 84/78,976/24,367/520

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 84,976,367

Least Common Multiple of Numerators i.e. LCM of 84,976,367 is 7522032.

GCF of Denominators means GCF of 78,24,520 as per the given fractions.

GCF of 78,24,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,976,367

LCM of Fractions 84/78,976/24,367/520 is 3761016

2 84, 976, 367
2 42, 488, 367
21, 244, 367

∴ So the LCM of the given numbers is 2 x 2 x 21 x 244 x 367 = 7522032

Least Common Multiple of 84,976,367 with GCF Formula

Least Common Multiple of 84,976,367 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 84,976,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,976,367) = 1

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

GCF(84,976,367) x common factors =1 x 4 = 4

LCM(84,976,367) = ( 84 × 976 × 367 ) / 4

LCM(84,976,367) = 30088128 / 4

LCM(84,976,367) = 7522032


Lets's calculate GCF of 78,24,520

2 78, 24, 520
39, 12, 260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7522032/2

Therefore the LCM of Fractions 84/78,976/24,367/520 is 3761016

Greatest Common Factor of 78,24,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,24,520 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 78,24,520 . The biggest common factor number is the GCF number.
So the greatest common factor 78,24,520 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 84/78, 976/24, 367/520

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 84/78, 976/24, 367/520?

Answer: LCM of Numerators as per given numbers 84/78, 976/24, 367/520 is

LCM of Numerators i.e. for 84,976,367 is 7522032

GCF of denominators i.e. for 78,24,520 is 2.

Thus, LCM of Fractions is 3761016.Finally, LCM of Fractions for 84/78, 976/24, 367/520 is 3761016.