Least Common Multiple of 220/363, 218/801, 818/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/363, 218/801, 818/567 quickly i.e. 9807820/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/363, 218/801, 818/567 is 9807820/3.

LCM(220/363, 218/801, 818/567) = 9807820/3

LCM of 220/363, 218/801, 818/567

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 220/363,218/801,818/567

Given numbers are 220/363,218/801,818/567

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 220,218,818

Least Common Multiple of Numerators i.e. LCM of 220,218,818 is 9807820.

GCF of Denominators means GCF of 363,801,567 as per the given fractions.

GCF of 363,801,567 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,218,818

LCM of Fractions 220/363,218/801,818/567 is 9807820/3

2 220, 218, 818
110, 109, 409

∴ So the LCM of the given numbers is 2 x 110 x 109 x 409 = 9807820

Least Common Multiple of 220,218,818 with GCF Formula

Least Common Multiple of 220,218,818 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 220,218,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,218,818) = 2

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

GCF(220,218,818) x common factors =2 x 2 = 4

LCM(220,218,818) = ( 220 × 218 × 818 ) / 4

LCM(220,218,818) = 39231280 / 4

LCM(220,218,818) = 9807820


Lets's calculate GCF of 363,801,567

3 363, 801, 567
121, 267, 189

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9807820/3

Therefore the LCM of Fractions 220/363,218/801,818/567 is 9807820/3

Greatest Common Factor of 363,801,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,801,567 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 363,801,567 . The biggest common factor number is the GCF number.
So the greatest common factor 363,801,567 is 3.


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 220/363, 218/801, 818/567

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 220/363, 218/801, 818/567?

Answer: LCM of Numerators as per given numbers 220/363, 218/801, 818/567 is

LCM of Numerators i.e. for 220,218,818 is 9807820

GCF of denominators i.e. for 363,801,567 is 3.

Thus, LCM of Fractions is 9807820/3.Finally, LCM of Fractions for 220/363, 218/801, 818/567 is 9807820/3.