Least Common Multiple of 16/495, 74/621, 420/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/495, 74/621, 420/867 quickly i.e. 20720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/495, 74/621, 420/867 is 20720.

LCM(16/495, 74/621, 420/867) = 20720

LCM of 16/495, 74/621, 420/867

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 16/495,74/621,420/867

Given numbers are 16/495,74/621,420/867

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 16,74,420

Least Common Multiple of Numerators i.e. LCM of 16,74,420 is 62160.

GCF of Denominators means GCF of 495,621,867 as per the given fractions.

GCF of 495,621,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,74,420

LCM of Fractions 16/495,74/621,420/867 is 20720

2 16, 74, 420
2 8, 37, 210
4, 37, 105

∴ So the LCM of the given numbers is 2 x 2 x 4 x 37 x 105 = 62160

Least Common Multiple of 16,74,420 with GCF Formula

Least Common Multiple of 16,74,420 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 16,74,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,74,420) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(16,74,420) x common factors =2 x 4 = 8

LCM(16,74,420) = ( 16 × 74 × 420 ) / 8

LCM(16,74,420) = 497280 / 8

LCM(16,74,420) = 62160


Lets's calculate GCF of 495,621,867

3 495, 621, 867
165, 207, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62160/3

Therefore the LCM of Fractions 16/495,74/621,420/867 is 20720

Greatest Common Factor of 495,621,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,621,867 By Matching Biggest Common Factor Method

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

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 495,621,867 . The biggest common factor number is the GCF number.
So the greatest common factor 495,621,867 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 16/495, 74/621, 420/867

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 16/495, 74/621, 420/867?

Answer: LCM of Numerators as per given numbers 16/495, 74/621, 420/867 is

LCM of Numerators i.e. for 16,74,420 is 62160

GCF of denominators i.e. for 495,621,867 is 3.

Thus, LCM of Fractions is 20720.Finally, LCM of Fractions for 16/495, 74/621, 420/867 is 20720.