Least Common Multiple of 66/141, 61/600, 939/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/141, 61/600, 939/804 quickly i.e. 420046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/141, 61/600, 939/804 is 420046.

LCM(66/141, 61/600, 939/804) = 420046

LCM of 66/141, 61/600, 939/804

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 66/141,61/600,939/804

Given numbers are 66/141,61/600,939/804

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 66,61,939

Least Common Multiple of Numerators i.e. LCM of 66,61,939 is 1260138.

GCF of Denominators means GCF of 141,600,804 as per the given fractions.

GCF of 141,600,804 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,61,939

LCM of Fractions 66/141,61/600,939/804 is 420046

3 66, 61, 939
22, 61, 313

∴ So the LCM of the given numbers is 3 x 22 x 61 x 313 = 1260138

Least Common Multiple of 66,61,939 with GCF Formula

Least Common Multiple of 66,61,939 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 66,61,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,61,939) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,61,939) x common factors =1 x 3 = 3

LCM(66,61,939) = ( 66 × 61 × 939 ) / 3

LCM(66,61,939) = 3780414 / 3

LCM(66,61,939) = 1260138


Lets's calculate GCF of 141,600,804

3 141, 600, 804
47, 200, 268

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260138/3

Therefore the LCM of Fractions 66/141,61/600,939/804 is 420046

Greatest Common Factor of 141,600,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,600,804 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 141,600,804 . The biggest common factor number is the GCF number.
So the greatest common factor 141,600,804 is 3.


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 66/141, 61/600, 939/804

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 66/141, 61/600, 939/804?

Answer: LCM of Numerators as per given numbers 66/141, 61/600, 939/804 is

LCM of Numerators i.e. for 66,61,939 is 1260138

GCF of denominators i.e. for 141,600,804 is 3.

Thus, LCM of Fractions is 420046.Finally, LCM of Fractions for 66/141, 61/600, 939/804 is 420046.