Least Common Multiple of 645/54, 206/28, 390/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 645/54, 206/28, 390/504 quickly i.e. 863655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/54, 206/28, 390/504 is 863655.

LCM(645/54, 206/28, 390/504) = 863655

LCM of 645/54, 206/28, 390/504

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 645/54,206/28,390/504

Given numbers are 645/54,206/28,390/504

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 645,206,390

Least Common Multiple of Numerators i.e. LCM of 645,206,390 is 1727310.

GCF of Denominators means GCF of 54,28,504 as per the given fractions.

GCF of 54,28,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,206,390

LCM of Fractions 645/54,206/28,390/504 is 863655

2 645, 206, 390
3 645, 103, 195
5 215, 103, 65
43, 103, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 103 x 13 = 1727310

Least Common Multiple of 645,206,390 with GCF Formula

Least Common Multiple of 645,206,390 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 645,206,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,206,390) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(645,206,390) x common factors =1 x 30 = 30

LCM(645,206,390) = ( 645 × 206 × 390 ) / 30

LCM(645,206,390) = 51819300 / 30

LCM(645,206,390) = 1727310


Lets's calculate GCF of 54,28,504

2 54, 28, 504
27, 14, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1727310/2

Therefore the LCM of Fractions 645/54,206/28,390/504 is 863655

Greatest Common Factor of 54,28,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,28,504 By Matching Biggest Common Factor Method

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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 54,28,504 . The biggest common factor number is the GCF number.
So the greatest common factor 54,28,504 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 645/54, 206/28, 390/504

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 645/54, 206/28, 390/504?

Answer: LCM of Numerators as per given numbers 645/54, 206/28, 390/504 is

LCM of Numerators i.e. for 645,206,390 is 1727310

GCF of denominators i.e. for 54,28,504 is 2.

Thus, LCM of Fractions is 863655.Finally, LCM of Fractions for 645/54, 206/28, 390/504 is 863655.