Least Common Multiple of 333/25, 945/13, 786/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 333/25, 945/13, 786/85 quickly i.e. 9160830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/25, 945/13, 786/85 is 9160830.

LCM(333/25, 945/13, 786/85) = 9160830

LCM of 333/25, 945/13, 786/85

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 333/25,945/13,786/85

Given numbers are 333/25,945/13,786/85

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 333,945,786

Least Common Multiple of Numerators i.e. LCM of 333,945,786 is 9160830.

GCF of Denominators means GCF of 25,13,85 as per the given fractions.

GCF of 25,13,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,945,786

LCM of Fractions 333/25,945/13,786/85 is 9160830

3 333, 945, 786
3 111, 315, 262
37, 105, 262

∴ So the LCM of the given numbers is 3 x 3 x 37 x 105 x 262 = 9160830

Least Common Multiple of 333,945,786 with GCF Formula

Least Common Multiple of 333,945,786 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 333,945,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,945,786) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(333,945,786) x common factors =3 x 9 = 27

LCM(333,945,786) = ( 333 × 945 × 786 ) / 27

LCM(333,945,786) = 247342410 / 27

LCM(333,945,786) = 9160830


Lets's calculate GCF of 25,13,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9160830/1

Therefore the LCM of Fractions 333/25,945/13,786/85 is 9160830

Greatest Common Factor of 25,13,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,13,85 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 25,13,85 . The biggest common factor number is the GCF number.
So the greatest common factor 25,13,85 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 333/25, 945/13, 786/85

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 333/25, 945/13, 786/85?

Answer: LCM of Numerators as per given numbers 333/25, 945/13, 786/85 is

LCM of Numerators i.e. for 333,945,786 is 9160830

GCF of denominators i.e. for 25,13,85 is 1.

Thus, LCM of Fractions is 9160830.Finally, LCM of Fractions for 333/25, 945/13, 786/85 is 9160830.