Least Common Multiple of 218/404, 266/587, 217/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/404, 266/587, 217/771 quickly i.e. 898814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/404, 266/587, 217/771 is 898814.

LCM(218/404, 266/587, 217/771) = 898814

LCM of 218/404, 266/587, 217/771

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 218/404,266/587,217/771

Given numbers are 218/404,266/587,217/771

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 218,266,217

Least Common Multiple of Numerators i.e. LCM of 218,266,217 is 898814.

GCF of Denominators means GCF of 404,587,771 as per the given fractions.

GCF of 404,587,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,266,217

LCM of Fractions 218/404,266/587,217/771 is 898814

2 218, 266, 217
7 109, 133, 217
109, 19, 31

∴ So the LCM of the given numbers is 2 x 7 x 109 x 19 x 31 = 898814

Least Common Multiple of 218,266,217 with GCF Formula

Least Common Multiple of 218,266,217 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 218,266,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,266,217) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(218,266,217) x common factors =1 x 14 = 14

LCM(218,266,217) = ( 218 × 266 × 217 ) / 14

LCM(218,266,217) = 12583396 / 14

LCM(218,266,217) = 898814


Lets's calculate GCF of 404,587,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 898814/1

Therefore the LCM of Fractions 218/404,266/587,217/771 is 898814

Greatest Common Factor of 404,587,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,587,771 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 404,587,771 . The biggest common factor number is the GCF number.
So the greatest common factor 404,587,771 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 218/404, 266/587, 217/771

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 218/404, 266/587, 217/771?

Answer: LCM of Numerators as per given numbers 218/404, 266/587, 217/771 is

LCM of Numerators i.e. for 218,266,217 is 898814

GCF of denominators i.e. for 404,587,771 is 1.

Thus, LCM of Fractions is 898814.Finally, LCM of Fractions for 218/404, 266/587, 217/771 is 898814.