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LCM of 282, 235, 466, 306

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 282, 235, 466, 306 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 282, 235, 466, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,235,466,306

Given numbers are 282,235,466,306

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 282,235,466,306 is 16755030.

Find LCM of 282,235,466,306 with Prime Factorization


2 282, 235, 466, 306
3 141, 235, 233, 153
47 47, 235, 233, 51
1, 5, 233, 51

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 47 x 1 x 5 x 233 x 51 = 16755030

Therefore, the lowest common multiple of 282,235,466,306 is 16755030.

LCM Formula to Find Lowest Common Multiple of 282,235,466,306

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

282 x 235 x 466 x 306 = 9449836920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

235 : 1, 5, 47, 235

466 : 1, 2, 233, 466

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,235,466,306, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

235:5x 47

466:2x 233

306:2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 47 = 564

Therefore, the value for common factors is 564.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9449836920/(1x564)

LCM = 9449836920/564

LCM = 16755030

Thus, we can understand that the LCM of 282,235,466,306 is 16755030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 235, 466, 306

1. What is the LCM of 282, 235, 466, 306?

Answer: LCM of 282, 235, 466, 306 is 16755030.

2. How to calculate the LCM of 282, 235, 466, 306?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 282, 235, 466, 306.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.