Least Common Multiple of 903/93, 295/27, 420/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 903/93, 295/27, 420/459 quickly i.e. 355180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 903/93, 295/27, 420/459 is 355180.

LCM(903/93, 295/27, 420/459) = 355180

LCM of 903/93, 295/27, 420/459

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 903/93,295/27,420/459

Given numbers are 903/93,295/27,420/459

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 903,295,420

Least Common Multiple of Numerators i.e. LCM of 903,295,420 is 1065540.

GCF of Denominators means GCF of 93,27,459 as per the given fractions.

GCF of 93,27,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 903,295,420

LCM of Fractions 903/93,295/27,420/459 is 355180

3 903, 295, 420
5 301, 295, 140
7 301, 59, 28
43, 59, 4

∴ So the LCM of the given numbers is 3 x 5 x 7 x 43 x 59 x 4 = 1065540

Least Common Multiple of 903,295,420 with GCF Formula

Least Common Multiple of 903,295,420 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 903,295,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,295,420) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(903,295,420) x common factors =1 x 105 = 105

LCM(903,295,420) = ( 903 × 295 × 420 ) / 105

LCM(903,295,420) = 111881700 / 105

LCM(903,295,420) = 1065540


Lets's calculate GCF of 93,27,459

3 93, 27, 459
31, 9, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065540/3

Therefore the LCM of Fractions 903/93,295/27,420/459 is 355180

Greatest Common Factor of 93,27,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,27,459 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 93,27,459 . The biggest common factor number is the GCF number.
So the greatest common factor 93,27,459 is 3.


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 903/93, 295/27, 420/459

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 903/93, 295/27, 420/459?

Answer: LCM of Numerators as per given numbers 903/93, 295/27, 420/459 is

LCM of Numerators i.e. for 903,295,420 is 1065540

GCF of denominators i.e. for 93,27,459 is 3.

Thus, LCM of Fractions is 355180.Finally, LCM of Fractions for 903/93, 295/27, 420/459 is 355180.