Least Common Multiple of 45/513, 63/532, 423/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/513, 63/532, 423/684 quickly i.e. 14805/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/513, 63/532, 423/684 is 14805/19.

LCM(45/513, 63/532, 423/684) = 14805/19

LCM of 45/513, 63/532, 423/684

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 45/513,63/532,423/684

Given numbers are 45/513,63/532,423/684

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 45,63,423

Least Common Multiple of Numerators i.e. LCM of 45,63,423 is 14805.

GCF of Denominators means GCF of 513,532,684 as per the given fractions.

GCF of 513,532,684 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,63,423

LCM of Fractions 45/513,63/532,423/684 is 14805/19

3 45, 63, 423
3 15, 21, 141
5, 7, 47

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 47 = 14805

Least Common Multiple of 45,63,423 with GCF Formula

Least Common Multiple of 45,63,423 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 45,63,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,63,423) = 9

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

GCF(45,63,423) x common factors =9 x 9 = 81

LCM(45,63,423) = ( 45 × 63 × 423 ) / 81

LCM(45,63,423) = 1199205 / 81

LCM(45,63,423) = 14805


Lets's calculate GCF of 513,532,684

19 513, 532, 684
27, 28, 36

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14805/19

Therefore the LCM of Fractions 45/513,63/532,423/684 is 14805/19

Greatest Common Factor of 513,532,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,532,684 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 513,532,684 . The biggest common factor number is the GCF number.
So the greatest common factor 513,532,684 is 19.


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 45/513, 63/532, 423/684

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 45/513, 63/532, 423/684?

Answer: LCM of Numerators as per given numbers 45/513, 63/532, 423/684 is

LCM of Numerators i.e. for 45,63,423 is 14805

GCF of denominators i.e. for 513,532,684 is 19.

Thus, LCM of Fractions is 14805/19.Finally, LCM of Fractions for 45/513, 63/532, 423/684 is 14805/19.