Least Common Multiple of 21/460, 38/315, 734/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/460, 38/315, 734/495 quickly i.e. 292866/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/460, 38/315, 734/495 is 292866/5.

LCM(21/460, 38/315, 734/495) = 292866/5

LCM of 21/460, 38/315, 734/495

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 21/460,38/315,734/495

Given numbers are 21/460,38/315,734/495

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 21,38,734

Least Common Multiple of Numerators i.e. LCM of 21,38,734 is 292866.

GCF of Denominators means GCF of 460,315,495 as per the given fractions.

GCF of 460,315,495 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,38,734

LCM of Fractions 21/460,38/315,734/495 is 292866/5

2 21, 38, 734
21, 19, 367

∴ So the LCM of the given numbers is 2 x 21 x 19 x 367 = 292866

Least Common Multiple of 21,38,734 with GCF Formula

Least Common Multiple of 21,38,734 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 21,38,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,38,734) = 1

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

GCF(21,38,734) x common factors =1 x 2 = 2

LCM(21,38,734) = ( 21 × 38 × 734 ) / 2

LCM(21,38,734) = 585732 / 2

LCM(21,38,734) = 292866


Lets's calculate GCF of 460,315,495

5 460, 315, 495
92, 63, 99

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292866/5

Therefore the LCM of Fractions 21/460,38/315,734/495 is 292866/5

Greatest Common Factor of 460,315,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,315,495 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 460,315,495 . The biggest common factor number is the GCF number.
So the greatest common factor 460,315,495 is 5.


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 21/460, 38/315, 734/495

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 21/460, 38/315, 734/495?

Answer: LCM of Numerators as per given numbers 21/460, 38/315, 734/495 is

LCM of Numerators i.e. for 21,38,734 is 292866

GCF of denominators i.e. for 460,315,495 is 5.

Thus, LCM of Fractions is 292866/5.Finally, LCM of Fractions for 21/460, 38/315, 734/495 is 292866/5.