Least Common Multiple of 58/59, 64/73, 58/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/59, 64/73, 58/692 quickly i.e. 1856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/59, 64/73, 58/692 is 1856.

LCM(58/59, 64/73, 58/692) = 1856

LCM of 58/59, 64/73, 58/692

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 58/59,64/73,58/692

Given numbers are 58/59,64/73,58/692

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 58,64,58

Least Common Multiple of Numerators i.e. LCM of 58,64,58 is 1856.

GCF of Denominators means GCF of 59,73,692 as per the given fractions.

GCF of 59,73,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,64,58

LCM of Fractions 58/59,64/73,58/692 is 1856

2 58, 64, 58
29 29, 32, 29
1, 32, 1

∴ So the LCM of the given numbers is 2 x 29 x 1 x 32 x 1 = 1856

Least Common Multiple of 58,64,58 with GCF Formula

Least Common Multiple of 58,64,58 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 58,64,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,64,58) = 2

common factors(in case of two or more numbers have common factors) = 58

GCF(58,64,58) x common factors =2 x 58 = 116

LCM(58,64,58) = ( 58 × 64 × 58 ) / 116

LCM(58,64,58) = 215296 / 116

LCM(58,64,58) = 1856


Lets's calculate GCF of 59,73,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1856/1

Therefore the LCM of Fractions 58/59,64/73,58/692 is 1856

Greatest Common Factor of 59,73,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,73,692 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 73

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

1,73

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 59,73,692 . The biggest common factor number is the GCF number.
So the greatest common factor 59,73,692 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/59, 64/73, 58/692

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 58/59, 64/73, 58/692?

Answer: LCM of Numerators as per given numbers 58/59, 64/73, 58/692 is

LCM of Numerators i.e. for 58,64,58 is 1856

GCF of denominators i.e. for 59,73,692 is 1.

Thus, LCM of Fractions is 1856.Finally, LCM of Fractions for 58/59, 64/73, 58/692 is 1856.