Least Common Multiple of 855/321, 637/425, 306/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/321, 637/425, 306/153 quickly i.e. 18517590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/321, 637/425, 306/153 is 18517590.

LCM(855/321, 637/425, 306/153) = 18517590

LCM of 855/321, 637/425, 306/153

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 855/321,637/425,306/153

Given numbers are 855/321,637/425,306/153

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 855,637,306

Least Common Multiple of Numerators i.e. LCM of 855,637,306 is 18517590.

GCF of Denominators means GCF of 321,425,153 as per the given fractions.

GCF of 321,425,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,637,306

LCM of Fractions 855/321,637/425,306/153 is 18517590

3 855, 637, 306
3 285, 637, 102
95, 637, 34

∴ So the LCM of the given numbers is 3 x 3 x 95 x 637 x 34 = 18517590

Least Common Multiple of 855,637,306 with GCF Formula

Least Common Multiple of 855,637,306 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 855,637,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,637,306) = 1

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

GCF(855,637,306) x common factors =1 x 9 = 9

LCM(855,637,306) = ( 855 × 637 × 306 ) / 9

LCM(855,637,306) = 166658310 / 9

LCM(855,637,306) = 18517590


Lets's calculate GCF of 321,425,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18517590/1

Therefore the LCM of Fractions 855/321,637/425,306/153 is 18517590

Greatest Common Factor of 321,425,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,425,153 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 321,425,153 . The biggest common factor number is the GCF number.
So the greatest common factor 321,425,153 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/321, 637/425, 306/153

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 855/321, 637/425, 306/153?

Answer: LCM of Numerators as per given numbers 855/321, 637/425, 306/153 is

LCM of Numerators i.e. for 855,637,306 is 18517590

GCF of denominators i.e. for 321,425,153 is 1.

Thus, LCM of Fractions is 18517590.Finally, LCM of Fractions for 855/321, 637/425, 306/153 is 18517590.