Least Common Multiple of 20/284, 351/656, 603/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/284, 351/656, 603/808 quickly i.e. 117585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/284, 351/656, 603/808 is 117585.

LCM(20/284, 351/656, 603/808) = 117585

LCM of 20/284, 351/656, 603/808

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 20/284,351/656,603/808

Given numbers are 20/284,351/656,603/808

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 20,351,603

Least Common Multiple of Numerators i.e. LCM of 20,351,603 is 470340.

GCF of Denominators means GCF of 284,656,808 as per the given fractions.

GCF of 284,656,808 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,351,603

LCM of Fractions 20/284,351/656,603/808 is 117585

3 20, 351, 603
3 20, 117, 201
20, 39, 67

∴ So the LCM of the given numbers is 3 x 3 x 20 x 39 x 67 = 470340

Least Common Multiple of 20,351,603 with GCF Formula

Least Common Multiple of 20,351,603 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 20,351,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,351,603) = 1

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

GCF(20,351,603) x common factors =1 x 9 = 9

LCM(20,351,603) = ( 20 × 351 × 603 ) / 9

LCM(20,351,603) = 4233060 / 9

LCM(20,351,603) = 470340


Lets's calculate GCF of 284,656,808

2 284, 656, 808
2 142, 328, 404
71, 164, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470340/4

Therefore the LCM of Fractions 20/284,351/656,603/808 is 117585

Greatest Common Factor of 284,656,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,656,808 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 284,656,808 . The biggest common factor number is the GCF number.
So the greatest common factor 284,656,808 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 20/284, 351/656, 603/808

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 20/284, 351/656, 603/808?

Answer: LCM of Numerators as per given numbers 20/284, 351/656, 603/808 is

LCM of Numerators i.e. for 20,351,603 is 470340

GCF of denominators i.e. for 284,656,808 is 4.

Thus, LCM of Fractions is 117585.Finally, LCM of Fractions for 20/284, 351/656, 603/808 is 117585.