Least Common Multiple of 221/36, 884/63, 436/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/36, 884/63, 436/85 quickly i.e. 96356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/36, 884/63, 436/85 is 96356.

LCM(221/36, 884/63, 436/85) = 96356

LCM of 221/36, 884/63, 436/85

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 221/36,884/63,436/85

Given numbers are 221/36,884/63,436/85

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 221,884,436

Least Common Multiple of Numerators i.e. LCM of 221,884,436 is 96356.

GCF of Denominators means GCF of 36,63,85 as per the given fractions.

GCF of 36,63,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,884,436

LCM of Fractions 221/36,884/63,436/85 is 96356

2 221, 884, 436
2 221, 442, 218
13 221, 221, 109
17 17, 17, 109
1, 1, 109

∴ So the LCM of the given numbers is 2 x 2 x 13 x 17 x 1 x 1 x 109 = 96356

Least Common Multiple of 221,884,436 with GCF Formula

Least Common Multiple of 221,884,436 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 221,884,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,884,436) = 1

common factors(in case of two or more numbers have common factors) = 884

GCF(221,884,436) x common factors =1 x 884 = 884

LCM(221,884,436) = ( 221 × 884 × 436 ) / 884

LCM(221,884,436) = 85178704 / 884

LCM(221,884,436) = 96356


Lets's calculate GCF of 36,63,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96356/1

Therefore the LCM of Fractions 221/36,884/63,436/85 is 96356

Greatest Common Factor of 36,63,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,63,85 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 85

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

1,5,17,85

Greatest Common Factor

We found the factors 36,63,85 . The biggest common factor number is the GCF number.
So the greatest common factor 36,63,85 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 221/36, 884/63, 436/85

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 221/36, 884/63, 436/85?

Answer: LCM of Numerators as per given numbers 221/36, 884/63, 436/85 is

LCM of Numerators i.e. for 221,884,436 is 96356

GCF of denominators i.e. for 36,63,85 is 1.

Thus, LCM of Fractions is 96356.Finally, LCM of Fractions for 221/36, 884/63, 436/85 is 96356.