Least Common Multiple of 683/80, 442/78, 123/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/80, 442/78, 123/212 quickly i.e. 18565989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/80, 442/78, 123/212 is 18565989.

LCM(683/80, 442/78, 123/212) = 18565989

LCM of 683/80, 442/78, 123/212

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 683/80,442/78,123/212

Given numbers are 683/80,442/78,123/212

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 683,442,123

Least Common Multiple of Numerators i.e. LCM of 683,442,123 is 37131978.

GCF of Denominators means GCF of 80,78,212 as per the given fractions.

GCF of 80,78,212 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,442,123

LCM of Fractions 683/80,442/78,123/212 is 18565989

Given numbers has no common factors except 1. So, there LCM is their product i.e 37131978

Least Common Multiple of 683,442,123 with GCF Formula

Least Common Multiple of 683,442,123 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 683,442,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,442,123) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(683,442,123) x common factors =1 x 1 = 1

LCM(683,442,123) = ( 683 × 442 × 123 ) / 1

LCM(683,442,123) = 37131978 / 1

LCM(683,442,123) = 37131978


Lets's calculate GCF of 80,78,212

2 80, 78, 212
40, 39, 106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37131978/2

Therefore the LCM of Fractions 683/80,442/78,123/212 is 18565989

Greatest Common Factor of 80,78,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,78,212 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 80,78,212 . The biggest common factor number is the GCF number.
So the greatest common factor 80,78,212 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 683/80, 442/78, 123/212

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 683/80, 442/78, 123/212?

Answer: LCM of Numerators as per given numbers 683/80, 442/78, 123/212 is

LCM of Numerators i.e. for 683,442,123 is 37131978

GCF of denominators i.e. for 80,78,212 is 2.

Thus, LCM of Fractions is 18565989.Finally, LCM of Fractions for 683/80, 442/78, 123/212 is 18565989.