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Least Common Multiple of 18/63, 448/63, 213/738

Know Least Common Multiple of fractions 18/63, 448/63, 213/738 quickly i.e. 31808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/63, 448/63, 213/738 is 31808.

LCM(18/63, 448/63, 213/738) = 31808

LCM of 18/63, 448/63, 213/738

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 18/63,448/63,213/738

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 18,448,213

Least Common Multiple of Numerators i.e. LCM of 18,448,213 is 286272.

GCF of Denominators means GCF of 63,63,738 as per the given fractions.

GCF of 63,63,738 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,448,213

Least Common Multiple (LCM) of 18,448,213 By Common Division

2 18, 448, 213
3 9, 224, 213
3, 224, 71

∴ So the LCM of the given numbers is 2 x 3 x 3 x 224 x 71 = 286272

Least Common Multiple of 18,448,213 with GCF Formula

Least Common Multiple of 18,448,213 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 18,448,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,448,213) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,448,213) x common factors =1 x 6 = 6

LCM(18,448,213) = ( 18 × 448 × 213 ) / 6

LCM(18,448,213) = 1717632 / 6

LCM(18,448,213) = 286272


Lets's calculate GCF of 63,63,738

Greatest Common Factor (GCF) of 63,63,738 By Common Division

3 63, 63, 738
3 21, 21, 246
7, 7, 82

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286272/9

Therefore the LCM of Fractions 18/63,448/63,213/738 is 31808

Greatest Common Factor of 63,63,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,63,738 By Matching Biggest Common Factor Method

Factors of 63

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

1,3,7,9,21,63

Factors of 63

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

1,3,7,9,21,63

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 63,63,738 . The biggest common factor number is the GCF number.
So the greatest common factor 63,63,738 is 9.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/63, 448/63, 213/738

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 18/63, 448/63, 213/738?

Answer: LCM of Numerators as per given numbers 18/63, 448/63, 213/738 is

LCM of Numerators i.e. for 18,448,213 is 286272

GCF of denominators i.e. for 63,63,738 is 9.

Thus, LCM of Fractions is 31808.Finally, LCM of Fractions for 18/63, 448/63, 213/738 is 31808.