Least Common Multiple of 71/59, 83/39, 97/27, 92/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/59, 83/39, 97/27, 92/445 quickly i.e. 52589132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/59, 83/39, 97/27, 92/445 is 52589132.

LCM(71/59, 83/39, 97/27, 92/445) = 52589132

LCM of 71/59, 83/39, 97/27, 92/445

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 71/59,83/39,97/27,92/445

Given numbers are 71/59,83/39,97/27,92/445

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 71,83,97,92

Least Common Multiple of Numerators i.e. LCM of 71,83,97,92 is 52589132.

GCF of Denominators means GCF of 59,39,27,445 as per the given fractions.

GCF of 59,39,27,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,83,97,92

LCM of Fractions 71/59,83/39,97/27,92/445 is 52589132

Given numbers has no common factors except 1. So, there LCM is their product i.e 52589132

Least Common Multiple of 71,83,97,92 with GCF Formula

Least Common Multiple of 71,83,97,92 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 71,83,97,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,83,97,92) = 1

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

GCF(71,83,97,92) x common factors =1 x 1 = 1

LCM(71,83,97,92) = ( 71 × 83 × 97 × 92 ) / 1

LCM(71,83,97,92) = 52589132 / 1

LCM(71,83,97,92) = 52589132


Lets's calculate GCF of 59,39,27,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52589132/1

Therefore the LCM of Fractions 71/59,83/39,97/27,92/445 is 52589132

Greatest Common Factor of 59,39,27,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,39,27,445 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 59,39,27,445 . The biggest common factor number is the GCF number.
So the greatest common factor 59,39,27,445 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/59, 83/39, 97/27, 92/445

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 71/59, 83/39, 97/27, 92/445?

Answer: LCM of Numerators as per given numbers 71/59, 83/39, 97/27, 92/445 is

LCM of Numerators i.e. for 71,83,97,92 is 52589132

GCF of denominators i.e. for 59,39,27,445 is 1.

Thus, LCM of Fractions is 52589132.Finally, LCM of Fractions for 71/59, 83/39, 97/27, 92/445 is 52589132.