Least Common Multiple of 32/47, 27/63, 62/32, 99/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/47, 27/63, 62/32, 99/572 quickly i.e. 294624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/47, 27/63, 62/32, 99/572 is 294624.

LCM(32/47, 27/63, 62/32, 99/572) = 294624

LCM of 32/47, 27/63, 62/32, 99/572

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 32/47,27/63,62/32,99/572

Given numbers are 32/47,27/63,62/32,99/572

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 32,27,62,99

Least Common Multiple of Numerators i.e. LCM of 32,27,62,99 is 294624.

GCF of Denominators means GCF of 47,63,32,572 as per the given fractions.

GCF of 47,63,32,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,27,62,99

LCM of Fractions 32/47,27/63,62/32,99/572 is 294624

2 32, 27, 62, 99
3 16, 27, 31, 99
3 16, 9, 31, 33
16, 3, 31, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 3 x 31 x 11 = 294624

Least Common Multiple of 32,27,62,99 with GCF Formula

Least Common Multiple of 32,27,62,99 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 32,27,62,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,27,62,99) = 1

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

GCF(32,27,62,99) x common factors =1 x 18 = 18

LCM(32,27,62,99) = ( 32 × 27 × 62 × 99 ) / 18

LCM(32,27,62,99) = 5303232 / 18

LCM(32,27,62,99) = 294624


Lets's calculate GCF of 47,63,32,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294624/1

Therefore the LCM of Fractions 32/47,27/63,62/32,99/572 is 294624

Greatest Common Factor of 47,63,32,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,63,32,572 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 63

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

1,3,7,9,21,63

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 47,63,32,572 . The biggest common factor number is the GCF number.
So the greatest common factor 47,63,32,572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/47, 27/63, 62/32, 99/572

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 32/47, 27/63, 62/32, 99/572?

Answer: LCM of Numerators as per given numbers 32/47, 27/63, 62/32, 99/572 is

LCM of Numerators i.e. for 32,27,62,99 is 294624

GCF of denominators i.e. for 47,63,32,572 is 1.

Thus, LCM of Fractions is 294624.Finally, LCM of Fractions for 32/47, 27/63, 62/32, 99/572 is 294624.