Least Common Multiple of 67/288, 80/164, 312/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/288, 80/164, 312/211 quickly i.e. 209040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/288, 80/164, 312/211 is 209040.

LCM(67/288, 80/164, 312/211) = 209040

LCM of 67/288, 80/164, 312/211

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 67/288,80/164,312/211

Given numbers are 67/288,80/164,312/211

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 67,80,312

Least Common Multiple of Numerators i.e. LCM of 67,80,312 is 209040.

GCF of Denominators means GCF of 288,164,211 as per the given fractions.

GCF of 288,164,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,80,312

LCM of Fractions 67/288,80/164,312/211 is 209040

2 67, 80, 312
2 67, 40, 156
2 67, 20, 78
67, 10, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 10 x 39 = 209040

Least Common Multiple of 67,80,312 with GCF Formula

Least Common Multiple of 67,80,312 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 67,80,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,80,312) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(67,80,312) x common factors =1 x 8 = 8

LCM(67,80,312) = ( 67 × 80 × 312 ) / 8

LCM(67,80,312) = 1672320 / 8

LCM(67,80,312) = 209040


Lets's calculate GCF of 288,164,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209040/1

Therefore the LCM of Fractions 67/288,80/164,312/211 is 209040

Greatest Common Factor of 288,164,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,164,211 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

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

Factors of 164

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

1,2,4,41,82,164

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 288,164,211 . The biggest common factor number is the GCF number.
So the greatest common factor 288,164,211 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 67/288, 80/164, 312/211

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 67/288, 80/164, 312/211?

Answer: LCM of Numerators as per given numbers 67/288, 80/164, 312/211 is

LCM of Numerators i.e. for 67,80,312 is 209040

GCF of denominators i.e. for 288,164,211 is 1.

Thus, LCM of Fractions is 209040.Finally, LCM of Fractions for 67/288, 80/164, 312/211 is 209040.