Least Common Multiple of 58/10, 33/64, 89/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/10, 33/64, 89/275 quickly i.e. 170346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/10, 33/64, 89/275 is 170346.

LCM(58/10, 33/64, 89/275) = 170346

LCM of 58/10, 33/64, 89/275

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 58/10,33/64,89/275

Given numbers are 58/10,33/64,89/275

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 58,33,89

Least Common Multiple of Numerators i.e. LCM of 58,33,89 is 170346.

GCF of Denominators means GCF of 10,64,275 as per the given fractions.

GCF of 10,64,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,33,89

LCM of Fractions 58/10,33/64,89/275 is 170346

Given numbers has no common factors except 1. So, there LCM is their product i.e 170346

Least Common Multiple of 58,33,89 with GCF Formula

Least Common Multiple of 58,33,89 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 58,33,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,33,89) = 1

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

GCF(58,33,89) x common factors =1 x 1 = 1

LCM(58,33,89) = ( 58 × 33 × 89 ) / 1

LCM(58,33,89) = 170346 / 1

LCM(58,33,89) = 170346


Lets's calculate GCF of 10,64,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170346/1

Therefore the LCM of Fractions 58/10,33/64,89/275 is 170346

Greatest Common Factor of 10,64,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,64,275 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 10,64,275 . The biggest common factor number is the GCF number.
So the greatest common factor 10,64,275 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 58/10, 33/64, 89/275

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 58/10, 33/64, 89/275?

Answer: LCM of Numerators as per given numbers 58/10, 33/64, 89/275 is

LCM of Numerators i.e. for 58,33,89 is 170346

GCF of denominators i.e. for 10,64,275 is 1.

Thus, LCM of Fractions is 170346.Finally, LCM of Fractions for 58/10, 33/64, 89/275 is 170346.