Least Common Multiple of 611/42, 296/43, 296/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 611/42, 296/43, 296/66 quickly i.e. 180856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 611/42, 296/43, 296/66 is 180856.

LCM(611/42, 296/43, 296/66) = 180856

LCM of 611/42, 296/43, 296/66

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 611/42,296/43,296/66

Given numbers are 611/42,296/43,296/66

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 611,296,296

Least Common Multiple of Numerators i.e. LCM of 611,296,296 is 180856.

GCF of Denominators means GCF of 42,43,66 as per the given fractions.

GCF of 42,43,66 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 611,296,296

LCM of Fractions 611/42,296/43,296/66 is 180856

2 611, 296, 296
2 611, 148, 148
2 611, 74, 74
37 611, 37, 37
611, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 611 x 1 x 1 = 180856

Least Common Multiple of 611,296,296 with GCF Formula

Least Common Multiple of 611,296,296 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 611,296,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,296,296) = 1

common factors(in case of two or more numbers have common factors) = 296

GCF(611,296,296) x common factors =1 x 296 = 296

LCM(611,296,296) = ( 611 × 296 × 296 ) / 296

LCM(611,296,296) = 53533376 / 296

LCM(611,296,296) = 180856


Lets's calculate GCF of 42,43,66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180856/1

Therefore the LCM of Fractions 611/42,296/43,296/66 is 180856

Greatest Common Factor of 42,43,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,43,66 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 42,43,66 . The biggest common factor number is the GCF number.
So the greatest common factor 42,43,66 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 611/42, 296/43, 296/66

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 611/42, 296/43, 296/66?

Answer: LCM of Numerators as per given numbers 611/42, 296/43, 296/66 is

LCM of Numerators i.e. for 611,296,296 is 180856

GCF of denominators i.e. for 42,43,66 is 1.

Thus, LCM of Fractions is 180856.Finally, LCM of Fractions for 611/42, 296/43, 296/66 is 180856.