Least Common Multiple of 84/384, 65/837, 794/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/384, 65/837, 794/978 quickly i.e. 722540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/384, 65/837, 794/978 is 722540.

LCM(84/384, 65/837, 794/978) = 722540

LCM of 84/384, 65/837, 794/978

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 84/384,65/837,794/978

Given numbers are 84/384,65/837,794/978

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 84,65,794

Least Common Multiple of Numerators i.e. LCM of 84,65,794 is 2167620.

GCF of Denominators means GCF of 384,837,978 as per the given fractions.

GCF of 384,837,978 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,65,794

LCM of Fractions 84/384,65/837,794/978 is 722540

2 84, 65, 794
42, 65, 397

∴ So the LCM of the given numbers is 2 x 42 x 65 x 397 = 2167620

Least Common Multiple of 84,65,794 with GCF Formula

Least Common Multiple of 84,65,794 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 84,65,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,65,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,65,794) x common factors =1 x 2 = 2

LCM(84,65,794) = ( 84 × 65 × 794 ) / 2

LCM(84,65,794) = 4335240 / 2

LCM(84,65,794) = 2167620


Lets's calculate GCF of 384,837,978

3 384, 837, 978
128, 279, 326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2167620/3

Therefore the LCM of Fractions 84/384,65/837,794/978 is 722540

Greatest Common Factor of 384,837,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,837,978 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 384,837,978 . The biggest common factor number is the GCF number.
So the greatest common factor 384,837,978 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 84/384, 65/837, 794/978

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 84/384, 65/837, 794/978?

Answer: LCM of Numerators as per given numbers 84/384, 65/837, 794/978 is

LCM of Numerators i.e. for 84,65,794 is 2167620

GCF of denominators i.e. for 384,837,978 is 3.

Thus, LCM of Fractions is 722540.Finally, LCM of Fractions for 84/384, 65/837, 794/978 is 722540.