Least Common Multiple of 78/363, 96/978, 445/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/363, 96/978, 445/931 quickly i.e. 555360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/363, 96/978, 445/931 is 555360.

LCM(78/363, 96/978, 445/931) = 555360

LCM of 78/363, 96/978, 445/931

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 78/363,96/978,445/931

Given numbers are 78/363,96/978,445/931

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 78,96,445

Least Common Multiple of Numerators i.e. LCM of 78,96,445 is 555360.

GCF of Denominators means GCF of 363,978,931 as per the given fractions.

GCF of 363,978,931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,96,445

LCM of Fractions 78/363,96/978,445/931 is 555360

2 78, 96, 445
3 39, 48, 445
13, 16, 445

∴ So the LCM of the given numbers is 2 x 3 x 13 x 16 x 445 = 555360

Least Common Multiple of 78,96,445 with GCF Formula

Least Common Multiple of 78,96,445 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 78,96,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,96,445) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,96,445) x common factors =1 x 6 = 6

LCM(78,96,445) = ( 78 × 96 × 445 ) / 6

LCM(78,96,445) = 3332160 / 6

LCM(78,96,445) = 555360


Lets's calculate GCF of 363,978,931

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555360/1

Therefore the LCM of Fractions 78/363,96/978,445/931 is 555360

Greatest Common Factor of 363,978,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,978,931 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 978

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

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

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 363,978,931 . The biggest common factor number is the GCF number.
So the greatest common factor 363,978,931 is 1.


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 78/363, 96/978, 445/931

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 78/363, 96/978, 445/931?

Answer: LCM of Numerators as per given numbers 78/363, 96/978, 445/931 is

LCM of Numerators i.e. for 78,96,445 is 555360

GCF of denominators i.e. for 363,978,931 is 1.

Thus, LCM of Fractions is 555360.Finally, LCM of Fractions for 78/363, 96/978, 445/931 is 555360.