Least Common Multiple of 65/441, 21/439, 162/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/441, 21/439, 162/924 quickly i.e. 73710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/441, 21/439, 162/924 is 73710.

LCM(65/441, 21/439, 162/924) = 73710

LCM of 65/441, 21/439, 162/924

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 65/441,21/439,162/924

Given numbers are 65/441,21/439,162/924

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 65,21,162

Least Common Multiple of Numerators i.e. LCM of 65,21,162 is 73710.

GCF of Denominators means GCF of 441,439,924 as per the given fractions.

GCF of 441,439,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,21,162

LCM of Fractions 65/441,21/439,162/924 is 73710

3 65, 21, 162
65, 7, 54

∴ So the LCM of the given numbers is 3 x 65 x 7 x 54 = 73710

Least Common Multiple of 65,21,162 with GCF Formula

Least Common Multiple of 65,21,162 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 65,21,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,21,162) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(65,21,162) x common factors =1 x 3 = 3

LCM(65,21,162) = ( 65 × 21 × 162 ) / 3

LCM(65,21,162) = 221130 / 3

LCM(65,21,162) = 73710


Lets's calculate GCF of 441,439,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73710/1

Therefore the LCM of Fractions 65/441,21/439,162/924 is 73710

Greatest Common Factor of 441,439,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,439,924 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 441,439,924 . The biggest common factor number is the GCF number.
So the greatest common factor 441,439,924 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 65/441, 21/439, 162/924

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 65/441, 21/439, 162/924?

Answer: LCM of Numerators as per given numbers 65/441, 21/439, 162/924 is

LCM of Numerators i.e. for 65,21,162 is 73710

GCF of denominators i.e. for 441,439,924 is 1.

Thus, LCM of Fractions is 73710.Finally, LCM of Fractions for 65/441, 21/439, 162/924 is 73710.