Least Common Multiple of 45/402, 300/484, 903/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/402, 300/484, 903/336 quickly i.e. 135450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/402, 300/484, 903/336 is 135450.

LCM(45/402, 300/484, 903/336) = 135450

LCM of 45/402, 300/484, 903/336

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 45/402,300/484,903/336

Given numbers are 45/402,300/484,903/336

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 45,300,903

Least Common Multiple of Numerators i.e. LCM of 45,300,903 is 270900.

GCF of Denominators means GCF of 402,484,336 as per the given fractions.

GCF of 402,484,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,300,903

LCM of Fractions 45/402,300/484,903/336 is 135450

3 45, 300, 903
5 15, 100, 301
3, 20, 301

∴ So the LCM of the given numbers is 3 x 5 x 3 x 20 x 301 = 270900

Least Common Multiple of 45,300,903 with GCF Formula

Least Common Multiple of 45,300,903 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 45,300,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,300,903) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(45,300,903) x common factors =3 x 15 = 45

LCM(45,300,903) = ( 45 × 300 × 903 ) / 45

LCM(45,300,903) = 12190500 / 45

LCM(45,300,903) = 270900


Lets's calculate GCF of 402,484,336

2 402, 484, 336
201, 242, 168

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270900/2

Therefore the LCM of Fractions 45/402,300/484,903/336 is 135450

Greatest Common Factor of 402,484,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,484,336 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 402,484,336 . The biggest common factor number is the GCF number.
So the greatest common factor 402,484,336 is 2.


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 45/402, 300/484, 903/336

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 45/402, 300/484, 903/336?

Answer: LCM of Numerators as per given numbers 45/402, 300/484, 903/336 is

LCM of Numerators i.e. for 45,300,903 is 270900

GCF of denominators i.e. for 402,484,336 is 2.

Thus, LCM of Fractions is 135450.Finally, LCM of Fractions for 45/402, 300/484, 903/336 is 135450.