Least Common Multiple of 432/13, 613/93, 283/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 432/13, 613/93, 283/92 quickly i.e. 74942928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/13, 613/93, 283/92 is 74942928.

LCM(432/13, 613/93, 283/92) = 74942928

LCM of 432/13, 613/93, 283/92

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 432/13,613/93,283/92

Given numbers are 432/13,613/93,283/92

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 432,613,283

Least Common Multiple of Numerators i.e. LCM of 432,613,283 is 74942928.

GCF of Denominators means GCF of 13,93,92 as per the given fractions.

GCF of 13,93,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,613,283

LCM of Fractions 432/13,613/93,283/92 is 74942928

Given numbers has no common factors except 1. So, there LCM is their product i.e 74942928

Least Common Multiple of 432,613,283 with GCF Formula

Least Common Multiple of 432,613,283 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 432,613,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,613,283) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(432,613,283) x common factors =1 x 1 = 1

LCM(432,613,283) = ( 432 × 613 × 283 ) / 1

LCM(432,613,283) = 74942928 / 1

LCM(432,613,283) = 74942928


Lets's calculate GCF of 13,93,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74942928/1

Therefore the LCM of Fractions 432/13,613/93,283/92 is 74942928

Greatest Common Factor of 13,93,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,93,92 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 13,93,92 . The biggest common factor number is the GCF number.
So the greatest common factor 13,93,92 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 432/13, 613/93, 283/92

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 432/13, 613/93, 283/92?

Answer: LCM of Numerators as per given numbers 432/13, 613/93, 283/92 is

LCM of Numerators i.e. for 432,613,283 is 74942928

GCF of denominators i.e. for 13,93,92 is 1.

Thus, LCM of Fractions is 74942928.Finally, LCM of Fractions for 432/13, 613/93, 283/92 is 74942928.