Least Common Multiple of 21/405, 681/662, 692/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/405, 681/662, 692/481 quickly i.e. 3298764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/405, 681/662, 692/481 is 3298764.

LCM(21/405, 681/662, 692/481) = 3298764

LCM of 21/405, 681/662, 692/481

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 21/405,681/662,692/481

Given numbers are 21/405,681/662,692/481

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 21,681,692

Least Common Multiple of Numerators i.e. LCM of 21,681,692 is 3298764.

GCF of Denominators means GCF of 405,662,481 as per the given fractions.

GCF of 405,662,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,681,692

LCM of Fractions 21/405,681/662,692/481 is 3298764

3 21, 681, 692
7, 227, 692

∴ So the LCM of the given numbers is 3 x 7 x 227 x 692 = 3298764

Least Common Multiple of 21,681,692 with GCF Formula

Least Common Multiple of 21,681,692 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 21,681,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,681,692) = 1

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

GCF(21,681,692) x common factors =1 x 3 = 3

LCM(21,681,692) = ( 21 × 681 × 692 ) / 3

LCM(21,681,692) = 9896292 / 3

LCM(21,681,692) = 3298764


Lets's calculate GCF of 405,662,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3298764/1

Therefore the LCM of Fractions 21/405,681/662,692/481 is 3298764

Greatest Common Factor of 405,662,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,662,481 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 405,662,481 . The biggest common factor number is the GCF number.
So the greatest common factor 405,662,481 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 21/405, 681/662, 692/481

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 21/405, 681/662, 692/481?

Answer: LCM of Numerators as per given numbers 21/405, 681/662, 692/481 is

LCM of Numerators i.e. for 21,681,692 is 3298764

GCF of denominators i.e. for 405,662,481 is 1.

Thus, LCM of Fractions is 3298764.Finally, LCM of Fractions for 21/405, 681/662, 692/481 is 3298764.