Least Common Multiple of 67/434, 73/270, 301/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/434, 73/270, 301/672 quickly i.e. 1472191/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/434, 73/270, 301/672 is 1472191/2.

LCM(67/434, 73/270, 301/672) = 1472191/2

LCM of 67/434, 73/270, 301/672

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 67/434,73/270,301/672

Given numbers are 67/434,73/270,301/672

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 67,73,301

Least Common Multiple of Numerators i.e. LCM of 67,73,301 is 1472191.

GCF of Denominators means GCF of 434,270,672 as per the given fractions.

GCF of 434,270,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,73,301

LCM of Fractions 67/434,73/270,301/672 is 1472191/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1472191

Least Common Multiple of 67,73,301 with GCF Formula

Least Common Multiple of 67,73,301 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 67,73,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,73,301) = 1

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

GCF(67,73,301) x common factors =1 x 1 = 1

LCM(67,73,301) = ( 67 × 73 × 301 ) / 1

LCM(67,73,301) = 1472191 / 1

LCM(67,73,301) = 1472191


Lets's calculate GCF of 434,270,672

2 434, 270, 672
217, 135, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1472191/2

Therefore the LCM of Fractions 67/434,73/270,301/672 is 1472191/2

Greatest Common Factor of 434,270,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,270,672 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 434,270,672 . The biggest common factor number is the GCF number.
So the greatest common factor 434,270,672 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 67/434, 73/270, 301/672

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 67/434, 73/270, 301/672?

Answer: LCM of Numerators as per given numbers 67/434, 73/270, 301/672 is

LCM of Numerators i.e. for 67,73,301 is 1472191

GCF of denominators i.e. for 434,270,672 is 2.

Thus, LCM of Fractions is 1472191/2.Finally, LCM of Fractions for 67/434, 73/270, 301/672 is 1472191/2.