Least Common Multiple of 533/34, 659/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 533/34, 659/187 quickly i.e. 351247/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/34, 659/187 is 351247/17.

LCM(533/34, 659/187) = 351247/17

LCM of 533/34, 659/187

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 533/34,659/187

Given numbers are 533/34,659/187

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 533,659

Least Common Multiple of Numerators i.e. LCM of 533,659 is 351247.

GCF of Denominators means GCF of 34,187 as per the given fractions.

GCF of 34,187 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,659

LCM of Fractions 533/34,659/187 is 351247/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 351247

Least Common Multiple of 533,659 with GCF Formula

Least Common Multiple of 533,659 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 533,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,659) = 1

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

GCF(533,659) x common factors =1 x 1 = 1

LCM(533,659) = ( 533 × 659 ) / 1

LCM(533,659) = 351247 / 1

LCM(533,659) = 351247


Lets's calculate GCF of 34,187

17 34, 187
2, 11

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351247/17

Therefore the LCM of Fractions 533/34,659/187 is 351247/17

Greatest Common Factor of 34,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,187 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 34,187 . The biggest common factor number is the GCF number.
So the greatest common factor 34,187 is 17.


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 533/34, 659/187

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 533/34, 659/187?

Answer: LCM of Numerators as per given numbers 533/34, 659/187 is

LCM of Numerators i.e. for 533,659 is 351247

GCF of denominators i.e. for 34,187 is 17.

Thus, LCM of Fractions is 351247/17.Finally, LCM of Fractions for 533/34, 659/187 is 351247/17.