Least Common Multiple of 67/942, 20/576, 671/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/942, 20/576, 671/212 quickly i.e. 449570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/942, 20/576, 671/212 is 449570.

LCM(67/942, 20/576, 671/212) = 449570

LCM of 67/942, 20/576, 671/212

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 67/942,20/576,671/212

Given numbers are 67/942,20/576,671/212

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 67,20,671

Least Common Multiple of Numerators i.e. LCM of 67,20,671 is 899140.

GCF of Denominators means GCF of 942,576,212 as per the given fractions.

GCF of 942,576,212 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,20,671

LCM of Fractions 67/942,20/576,671/212 is 449570

Given numbers has no common factors except 1. So, there LCM is their product i.e 899140

Least Common Multiple of 67,20,671 with GCF Formula

Least Common Multiple of 67,20,671 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 67,20,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,20,671) = 1

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

GCF(67,20,671) x common factors =1 x 1 = 1

LCM(67,20,671) = ( 67 × 20 × 671 ) / 1

LCM(67,20,671) = 899140 / 1

LCM(67,20,671) = 899140


Lets's calculate GCF of 942,576,212

2 942, 576, 212
471, 288, 106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 899140/2

Therefore the LCM of Fractions 67/942,20/576,671/212 is 449570

Greatest Common Factor of 942,576,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,576,212 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

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 942,576,212 . The biggest common factor number is the GCF number.
So the greatest common factor 942,576,212 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 67/942, 20/576, 671/212

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 67/942, 20/576, 671/212?

Answer: LCM of Numerators as per given numbers 67/942, 20/576, 671/212 is

LCM of Numerators i.e. for 67,20,671 is 899140

GCF of denominators i.e. for 942,576,212 is 2.

Thus, LCM of Fractions is 449570.Finally, LCM of Fractions for 67/942, 20/576, 671/212 is 449570.