Least Common Multiple of 859/909, 354/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 859/909, 354/333 quickly i.e. 304086/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/909, 354/333 is 304086/9.

LCM(859/909, 354/333) = 304086/9

LCM of 859/909, 354/333

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 859/909,354/333

Given numbers are 859/909,354/333

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 859,354

Least Common Multiple of Numerators i.e. LCM of 859,354 is 304086.

GCF of Denominators means GCF of 909,333 as per the given fractions.

GCF of 909,333 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,354

LCM of Fractions 859/909,354/333 is 304086/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 304086

Least Common Multiple of 859,354 with GCF Formula

Least Common Multiple of 859,354 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 859,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,354) = 1

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

GCF(859,354) x common factors =1 x 1 = 1

LCM(859,354) = ( 859 × 354 ) / 1

LCM(859,354) = 304086 / 1

LCM(859,354) = 304086


Lets's calculate GCF of 909,333

3 909, 333
3 303, 111
101, 37

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304086/9

Therefore the LCM of Fractions 859/909,354/333 is 304086/9

Greatest Common Factor of 909,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,333 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 909,333 . The biggest common factor number is the GCF number.
So the greatest common factor 909,333 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 859/909, 354/333

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 859/909, 354/333?

Answer: LCM of Numerators as per given numbers 859/909, 354/333 is

LCM of Numerators i.e. for 859,354 is 304086

GCF of denominators i.e. for 909,333 is 9.

Thus, LCM of Fractions is 304086/9.Finally, LCM of Fractions for 859/909, 354/333 is 304086/9.