Least Common Multiple of 66/235, 74/556, 337/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/235, 74/556, 337/994 quickly i.e. 822954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/235, 74/556, 337/994 is 822954.

LCM(66/235, 74/556, 337/994) = 822954

LCM of 66/235, 74/556, 337/994

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 66/235,74/556,337/994

Given numbers are 66/235,74/556,337/994

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 66,74,337

Least Common Multiple of Numerators i.e. LCM of 66,74,337 is 822954.

GCF of Denominators means GCF of 235,556,994 as per the given fractions.

GCF of 235,556,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,74,337

LCM of Fractions 66/235,74/556,337/994 is 822954

2 66, 74, 337
33, 37, 337

∴ So the LCM of the given numbers is 2 x 33 x 37 x 337 = 822954

Least Common Multiple of 66,74,337 with GCF Formula

Least Common Multiple of 66,74,337 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 66,74,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,74,337) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,74,337) x common factors =1 x 2 = 2

LCM(66,74,337) = ( 66 × 74 × 337 ) / 2

LCM(66,74,337) = 1645908 / 2

LCM(66,74,337) = 822954


Lets's calculate GCF of 235,556,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822954/1

Therefore the LCM of Fractions 66/235,74/556,337/994 is 822954

Greatest Common Factor of 235,556,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,556,994 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 235,556,994 . The biggest common factor number is the GCF number.
So the greatest common factor 235,556,994 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 66/235, 74/556, 337/994

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 66/235, 74/556, 337/994?

Answer: LCM of Numerators as per given numbers 66/235, 74/556, 337/994 is

LCM of Numerators i.e. for 66,74,337 is 822954

GCF of denominators i.e. for 235,556,994 is 1.

Thus, LCM of Fractions is 822954.Finally, LCM of Fractions for 66/235, 74/556, 337/994 is 822954.