Least Common Multiple of 17/37, 58/53, 206/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/37, 58/53, 206/128 quickly i.e. 101558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/37, 58/53, 206/128 is 101558.

LCM(17/37, 58/53, 206/128) = 101558

LCM of 17/37, 58/53, 206/128

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 17/37,58/53,206/128

Given numbers are 17/37,58/53,206/128

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 17,58,206

Least Common Multiple of Numerators i.e. LCM of 17,58,206 is 101558.

GCF of Denominators means GCF of 37,53,128 as per the given fractions.

GCF of 37,53,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,58,206

LCM of Fractions 17/37,58/53,206/128 is 101558

2 17, 58, 206
17, 29, 103

∴ So the LCM of the given numbers is 2 x 17 x 29 x 103 = 101558

Least Common Multiple of 17,58,206 with GCF Formula

Least Common Multiple of 17,58,206 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 17,58,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,58,206) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,58,206) x common factors =1 x 2 = 2

LCM(17,58,206) = ( 17 × 58 × 206 ) / 2

LCM(17,58,206) = 203116 / 2

LCM(17,58,206) = 101558


Lets's calculate GCF of 37,53,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101558/1

Therefore the LCM of Fractions 17/37,58/53,206/128 is 101558

Greatest Common Factor of 37,53,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,53,128 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 37,53,128 . The biggest common factor number is the GCF number.
So the greatest common factor 37,53,128 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 17/37, 58/53, 206/128

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 17/37, 58/53, 206/128?

Answer: LCM of Numerators as per given numbers 17/37, 58/53, 206/128 is

LCM of Numerators i.e. for 17,58,206 is 101558

GCF of denominators i.e. for 37,53,128 is 1.

Thus, LCM of Fractions is 101558.Finally, LCM of Fractions for 17/37, 58/53, 206/128 is 101558.