Least Common Multiple of 33/625, 589/61, 558/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/625, 589/61, 558/548 quickly i.e. 116622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/625, 589/61, 558/548 is 116622.

LCM(33/625, 589/61, 558/548) = 116622

LCM of 33/625, 589/61, 558/548

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 33/625,589/61,558/548

Given numbers are 33/625,589/61,558/548

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 33,589,558

Least Common Multiple of Numerators i.e. LCM of 33,589,558 is 116622.

GCF of Denominators means GCF of 625,61,548 as per the given fractions.

GCF of 625,61,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,589,558

LCM of Fractions 33/625,589/61,558/548 is 116622

3 33, 589, 558
31 11, 589, 186
11, 19, 6

∴ So the LCM of the given numbers is 3 x 31 x 11 x 19 x 6 = 116622

Least Common Multiple of 33,589,558 with GCF Formula

Least Common Multiple of 33,589,558 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 33,589,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,589,558) = 1

common factors(in case of two or more numbers have common factors) = 93

GCF(33,589,558) x common factors =1 x 93 = 93

LCM(33,589,558) = ( 33 × 589 × 558 ) / 93

LCM(33,589,558) = 10845846 / 93

LCM(33,589,558) = 116622


Lets's calculate GCF of 625,61,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116622/1

Therefore the LCM of Fractions 33/625,589/61,558/548 is 116622

Greatest Common Factor of 625,61,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,61,548 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 625,61,548 . The biggest common factor number is the GCF number.
So the greatest common factor 625,61,548 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 33/625, 589/61, 558/548

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 33/625, 589/61, 558/548?

Answer: LCM of Numerators as per given numbers 33/625, 589/61, 558/548 is

LCM of Numerators i.e. for 33,589,558 is 116622

GCF of denominators i.e. for 625,61,548 is 1.

Thus, LCM of Fractions is 116622.Finally, LCM of Fractions for 33/625, 589/61, 558/548 is 116622.