Least Common Multiple of 32/89, 63/13, 78/73, 73/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/89, 63/13, 78/73, 73/606 quickly i.e. 1913184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/89, 63/13, 78/73, 73/606 is 1913184.

LCM(32/89, 63/13, 78/73, 73/606) = 1913184

LCM of 32/89, 63/13, 78/73, 73/606

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 32/89,63/13,78/73,73/606

Given numbers are 32/89,63/13,78/73,73/606

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 32,63,78,73

Least Common Multiple of Numerators i.e. LCM of 32,63,78,73 is 1913184.

GCF of Denominators means GCF of 89,13,73,606 as per the given fractions.

GCF of 89,13,73,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,63,78,73

LCM of Fractions 32/89,63/13,78/73,73/606 is 1913184

2 32, 63, 78, 73
3 16, 63, 39, 73
16, 21, 13, 73

∴ So the LCM of the given numbers is 2 x 3 x 16 x 21 x 13 x 73 = 1913184

Least Common Multiple of 32,63,78,73 with GCF Formula

Least Common Multiple of 32,63,78,73 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 32,63,78,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,63,78,73) = 1

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

GCF(32,63,78,73) x common factors =1 x 6 = 6

LCM(32,63,78,73) = ( 32 × 63 × 78 × 73 ) / 6

LCM(32,63,78,73) = 11479104 / 6

LCM(32,63,78,73) = 1913184


Lets's calculate GCF of 89,13,73,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1913184/1

Therefore the LCM of Fractions 32/89,63/13,78/73,73/606 is 1913184

Greatest Common Factor of 89,13,73,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,13,73,606 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 89,13,73,606 . The biggest common factor number is the GCF number.
So the greatest common factor 89,13,73,606 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/89, 63/13, 78/73, 73/606

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 32/89, 63/13, 78/73, 73/606?

Answer: LCM of Numerators as per given numbers 32/89, 63/13, 78/73, 73/606 is

LCM of Numerators i.e. for 32,63,78,73 is 1913184

GCF of denominators i.e. for 89,13,73,606 is 1.

Thus, LCM of Fractions is 1913184.Finally, LCM of Fractions for 32/89, 63/13, 78/73, 73/606 is 1913184.