Least Common Multiple of 659/36, 109/14, 458/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/36, 109/14, 458/33 quickly i.e. 32898598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/36, 109/14, 458/33 is 32898598.

LCM(659/36, 109/14, 458/33) = 32898598

LCM of 659/36, 109/14, 458/33

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 659/36,109/14,458/33

Given numbers are 659/36,109/14,458/33

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 659,109,458

Least Common Multiple of Numerators i.e. LCM of 659,109,458 is 32898598.

GCF of Denominators means GCF of 36,14,33 as per the given fractions.

GCF of 36,14,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,109,458

LCM of Fractions 659/36,109/14,458/33 is 32898598

Given numbers has no common factors except 1. So, there LCM is their product i.e 32898598

Least Common Multiple of 659,109,458 with GCF Formula

Least Common Multiple of 659,109,458 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 659,109,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,109,458) = 1

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

GCF(659,109,458) x common factors =1 x 1 = 1

LCM(659,109,458) = ( 659 × 109 × 458 ) / 1

LCM(659,109,458) = 32898598 / 1

LCM(659,109,458) = 32898598


Lets's calculate GCF of 36,14,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32898598/1

Therefore the LCM of Fractions 659/36,109/14,458/33 is 32898598

Greatest Common Factor of 36,14,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,14,33 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 36,14,33 . The biggest common factor number is the GCF number.
So the greatest common factor 36,14,33 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 659/36, 109/14, 458/33

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 659/36, 109/14, 458/33?

Answer: LCM of Numerators as per given numbers 659/36, 109/14, 458/33 is

LCM of Numerators i.e. for 659,109,458 is 32898598

GCF of denominators i.e. for 36,14,33 is 1.

Thus, LCM of Fractions is 32898598.Finally, LCM of Fractions for 659/36, 109/14, 458/33 is 32898598.