Least Common Multiple of 551/15, 189/27, 840/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 551/15, 189/27, 840/63 quickly i.e. 1388520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/15, 189/27, 840/63 is 1388520.

LCM(551/15, 189/27, 840/63) = 1388520

LCM of 551/15, 189/27, 840/63

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 551/15,189/27,840/63

Given numbers are 551/15,189/27,840/63

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 551,189,840

Least Common Multiple of Numerators i.e. LCM of 551,189,840 is 4165560.

GCF of Denominators means GCF of 15,27,63 as per the given fractions.

GCF of 15,27,63 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,189,840

LCM of Fractions 551/15,189/27,840/63 is 1388520

3 551, 189, 840
7 551, 63, 280
551, 9, 40

∴ So the LCM of the given numbers is 3 x 7 x 551 x 9 x 40 = 4165560

Least Common Multiple of 551,189,840 with GCF Formula

Least Common Multiple of 551,189,840 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 551,189,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,189,840) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(551,189,840) x common factors =1 x 21 = 21

LCM(551,189,840) = ( 551 × 189 × 840 ) / 21

LCM(551,189,840) = 87476760 / 21

LCM(551,189,840) = 4165560


Lets's calculate GCF of 15,27,63

3 15, 27, 63
5, 9, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4165560/3

Therefore the LCM of Fractions 551/15,189/27,840/63 is 1388520

Greatest Common Factor of 15,27,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,27,63 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 15,27,63 . The biggest common factor number is the GCF number.
So the greatest common factor 15,27,63 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 551/15, 189/27, 840/63

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 551/15, 189/27, 840/63?

Answer: LCM of Numerators as per given numbers 551/15, 189/27, 840/63 is

LCM of Numerators i.e. for 551,189,840 is 4165560

GCF of denominators i.e. for 15,27,63 is 3.

Thus, LCM of Fractions is 1388520.Finally, LCM of Fractions for 551/15, 189/27, 840/63 is 1388520.