Least Common Multiple of 551/20, 648/18, 627/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 551/20, 648/18, 627/583 quickly i.e. 3927528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/20, 648/18, 627/583 is 3927528.

LCM(551/20, 648/18, 627/583) = 3927528

LCM of 551/20, 648/18, 627/583

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 551/20,648/18,627/583

Given numbers are 551/20,648/18,627/583

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 551,648,627

Least Common Multiple of Numerators i.e. LCM of 551,648,627 is 3927528.

GCF of Denominators means GCF of 20,18,583 as per the given fractions.

GCF of 20,18,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,648,627

LCM of Fractions 551/20,648/18,627/583 is 3927528

3 551, 648, 627
19 551, 216, 209
29, 216, 11

∴ So the LCM of the given numbers is 3 x 19 x 29 x 216 x 11 = 3927528

Least Common Multiple of 551,648,627 with GCF Formula

Least Common Multiple of 551,648,627 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 551,648,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,648,627) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(551,648,627) x common factors =1 x 57 = 57

LCM(551,648,627) = ( 551 × 648 × 627 ) / 57

LCM(551,648,627) = 223869096 / 57

LCM(551,648,627) = 3927528


Lets's calculate GCF of 20,18,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3927528/1

Therefore the LCM of Fractions 551/20,648/18,627/583 is 3927528

Greatest Common Factor of 20,18,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,18,583 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 20,18,583 . The biggest common factor number is the GCF number.
So the greatest common factor 20,18,583 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 551/20, 648/18, 627/583

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 551/20, 648/18, 627/583?

Answer: LCM of Numerators as per given numbers 551/20, 648/18, 627/583 is

LCM of Numerators i.e. for 551,648,627 is 3927528

GCF of denominators i.e. for 20,18,583 is 1.

Thus, LCM of Fractions is 3927528.Finally, LCM of Fractions for 551/20, 648/18, 627/583 is 3927528.