Least Common Multiple of 330/132, 755/103, 456/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/132, 755/103, 456/282 quickly i.e. 3787080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/132, 755/103, 456/282 is 3787080.

LCM(330/132, 755/103, 456/282) = 3787080

LCM of 330/132, 755/103, 456/282

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 330/132,755/103,456/282

Given numbers are 330/132,755/103,456/282

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 330,755,456

Least Common Multiple of Numerators i.e. LCM of 330,755,456 is 3787080.

GCF of Denominators means GCF of 132,103,282 as per the given fractions.

GCF of 132,103,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,755,456

LCM of Fractions 330/132,755/103,456/282 is 3787080

2 330, 755, 456
3 165, 755, 228
5 55, 755, 76
11, 151, 76

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 151 x 76 = 3787080

Least Common Multiple of 330,755,456 with GCF Formula

Least Common Multiple of 330,755,456 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 330,755,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,755,456) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(330,755,456) x common factors =1 x 30 = 30

LCM(330,755,456) = ( 330 × 755 × 456 ) / 30

LCM(330,755,456) = 113612400 / 30

LCM(330,755,456) = 3787080


Lets's calculate GCF of 132,103,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3787080/1

Therefore the LCM of Fractions 330/132,755/103,456/282 is 3787080

Greatest Common Factor of 132,103,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,103,282 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 132,103,282 . The biggest common factor number is the GCF number.
So the greatest common factor 132,103,282 is 1.


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 330/132, 755/103, 456/282

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 330/132, 755/103, 456/282?

Answer: LCM of Numerators as per given numbers 330/132, 755/103, 456/282 is

LCM of Numerators i.e. for 330,755,456 is 3787080

GCF of denominators i.e. for 132,103,282 is 1.

Thus, LCM of Fractions is 3787080.Finally, LCM of Fractions for 330/132, 755/103, 456/282 is 3787080.