Least Common Multiple of 549/95, 684/54, 594/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 549/95, 684/54, 594/627 quickly i.e. 1376892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/95, 684/54, 594/627 is 1376892.

LCM(549/95, 684/54, 594/627) = 1376892

LCM of 549/95, 684/54, 594/627

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 549/95,684/54,594/627

Given numbers are 549/95,684/54,594/627

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 549,684,594

Least Common Multiple of Numerators i.e. LCM of 549,684,594 is 1376892.

GCF of Denominators means GCF of 95,54,627 as per the given fractions.

GCF of 95,54,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,684,594

LCM of Fractions 549/95,684/54,594/627 is 1376892

2 549, 684, 594
3 549, 342, 297
3 183, 114, 99
61, 38, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 61 x 38 x 33 = 1376892

Least Common Multiple of 549,684,594 with GCF Formula

Least Common Multiple of 549,684,594 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 549,684,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,684,594) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(549,684,594) x common factors =9 x 18 = 162

LCM(549,684,594) = ( 549 × 684 × 594 ) / 162

LCM(549,684,594) = 223056504 / 162

LCM(549,684,594) = 1376892


Lets's calculate GCF of 95,54,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1376892/1

Therefore the LCM of Fractions 549/95,684/54,594/627 is 1376892

Greatest Common Factor of 95,54,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,54,627 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 95,54,627 . The biggest common factor number is the GCF number.
So the greatest common factor 95,54,627 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 549/95, 684/54, 594/627

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 549/95, 684/54, 594/627?

Answer: LCM of Numerators as per given numbers 549/95, 684/54, 594/627 is

LCM of Numerators i.e. for 549,684,594 is 1376892

GCF of denominators i.e. for 95,54,627 is 1.

Thus, LCM of Fractions is 1376892.Finally, LCM of Fractions for 549/95, 684/54, 594/627 is 1376892.