Least Common Multiple of 81/420, 304/56, 207/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/420, 304/56, 207/544 quickly i.e. 141588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/420, 304/56, 207/544 is 141588.

LCM(81/420, 304/56, 207/544) = 141588

LCM of 81/420, 304/56, 207/544

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 81/420,304/56,207/544

Given numbers are 81/420,304/56,207/544

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 81,304,207

Least Common Multiple of Numerators i.e. LCM of 81,304,207 is 566352.

GCF of Denominators means GCF of 420,56,544 as per the given fractions.

GCF of 420,56,544 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,304,207

LCM of Fractions 81/420,304/56,207/544 is 141588

3 81, 304, 207
3 27, 304, 69
9, 304, 23

∴ So the LCM of the given numbers is 3 x 3 x 9 x 304 x 23 = 566352

Least Common Multiple of 81,304,207 with GCF Formula

Least Common Multiple of 81,304,207 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 81,304,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,304,207) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(81,304,207) x common factors =1 x 9 = 9

LCM(81,304,207) = ( 81 × 304 × 207 ) / 9

LCM(81,304,207) = 5097168 / 9

LCM(81,304,207) = 566352


Lets's calculate GCF of 420,56,544

2 420, 56, 544
2 210, 28, 272
105, 14, 136

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566352/4

Therefore the LCM of Fractions 81/420,304/56,207/544 is 141588

Greatest Common Factor of 420,56,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,56,544 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 420,56,544 . The biggest common factor number is the GCF number.
So the greatest common factor 420,56,544 is 4.


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 81/420, 304/56, 207/544

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 81/420, 304/56, 207/544?

Answer: LCM of Numerators as per given numbers 81/420, 304/56, 207/544 is

LCM of Numerators i.e. for 81,304,207 is 566352

GCF of denominators i.e. for 420,56,544 is 4.

Thus, LCM of Fractions is 141588.Finally, LCM of Fractions for 81/420, 304/56, 207/544 is 141588.