Least Common Multiple of 67/29, 46/85, 304/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/29, 46/85, 304/164 quickly i.e. 468464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/29, 46/85, 304/164 is 468464.

LCM(67/29, 46/85, 304/164) = 468464

LCM of 67/29, 46/85, 304/164

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 67/29,46/85,304/164

Given numbers are 67/29,46/85,304/164

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 67,46,304

Least Common Multiple of Numerators i.e. LCM of 67,46,304 is 468464.

GCF of Denominators means GCF of 29,85,164 as per the given fractions.

GCF of 29,85,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,46,304

LCM of Fractions 67/29,46/85,304/164 is 468464

2 67, 46, 304
67, 23, 152

∴ So the LCM of the given numbers is 2 x 67 x 23 x 152 = 468464

Least Common Multiple of 67,46,304 with GCF Formula

Least Common Multiple of 67,46,304 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 67,46,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,46,304) = 1

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

GCF(67,46,304) x common factors =1 x 2 = 2

LCM(67,46,304) = ( 67 × 46 × 304 ) / 2

LCM(67,46,304) = 936928 / 2

LCM(67,46,304) = 468464


Lets's calculate GCF of 29,85,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468464/1

Therefore the LCM of Fractions 67/29,46/85,304/164 is 468464

Greatest Common Factor of 29,85,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,85,164 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 29,85,164 . The biggest common factor number is the GCF number.
So the greatest common factor 29,85,164 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 67/29, 46/85, 304/164

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 67/29, 46/85, 304/164?

Answer: LCM of Numerators as per given numbers 67/29, 46/85, 304/164 is

LCM of Numerators i.e. for 67,46,304 is 468464

GCF of denominators i.e. for 29,85,164 is 1.

Thus, LCM of Fractions is 468464.Finally, LCM of Fractions for 67/29, 46/85, 304/164 is 468464.