Least Common Multiple of 320/440, 494/678, 999/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/440, 494/678, 999/107 quickly i.e. 78960960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/440, 494/678, 999/107 is 78960960.

LCM(320/440, 494/678, 999/107) = 78960960

LCM of 320/440, 494/678, 999/107

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 320/440,494/678,999/107

Given numbers are 320/440,494/678,999/107

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 320,494,999

Least Common Multiple of Numerators i.e. LCM of 320,494,999 is 78960960.

GCF of Denominators means GCF of 440,678,107 as per the given fractions.

GCF of 440,678,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,494,999

LCM of Fractions 320/440,494/678,999/107 is 78960960

2 320, 494, 999
160, 247, 999

∴ So the LCM of the given numbers is 2 x 160 x 247 x 999 = 78960960

Least Common Multiple of 320,494,999 with GCF Formula

Least Common Multiple of 320,494,999 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 320,494,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,494,999) = 1

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

GCF(320,494,999) x common factors =1 x 2 = 2

LCM(320,494,999) = ( 320 × 494 × 999 ) / 2

LCM(320,494,999) = 157921920 / 2

LCM(320,494,999) = 78960960


Lets's calculate GCF of 440,678,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78960960/1

Therefore the LCM of Fractions 320/440,494/678,999/107 is 78960960

Greatest Common Factor of 440,678,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,678,107 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 440,678,107 . The biggest common factor number is the GCF number.
So the greatest common factor 440,678,107 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 320/440, 494/678, 999/107

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 320/440, 494/678, 999/107?

Answer: LCM of Numerators as per given numbers 320/440, 494/678, 999/107 is

LCM of Numerators i.e. for 320,494,999 is 78960960

GCF of denominators i.e. for 440,678,107 is 1.

Thus, LCM of Fractions is 78960960.Finally, LCM of Fractions for 320/440, 494/678, 999/107 is 78960960.