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LCM of 282, 817, 460, 230, 467

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


Find the LCM of 282, 817, 460, 230, 467 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, 817, 460, 230, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,817,460,230,467

Given numbers are 282,817,460,230,467

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

The LCM of 282,817,460,230,467 is 24746619540.

Find LCM of 282,817,460,230,467 with Prime Factorization


2 282, 817, 460, 230, 467
5 141, 817, 230, 115, 467
23 141, 817, 46, 23, 467
141, 817, 2, 1, 467

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

2 x 5 x 23 x 141 x 817 x 2 x 1 x 467 = 24746619540

Therefore, the lowest common multiple of 282,817,460,230,467 is 24746619540.

LCM Formula to Find Lowest Common Multiple of 282,817,460,230,467

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 817 x 460 x 230 x 467 = 11383444988400

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

817 : 1, 19, 43, 817

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

230 : 1, 2, 5, 10, 23, 46, 115, 230

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,817,460,230,467, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

817:19x 43

460:2x 2x 5x 23

230:2x 5x 23

467:467

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 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 11383444988400/(1x460)

LCM = 11383444988400/460

LCM = 24746619540

Thus, we can understand that the LCM of 282,817,460,230,467 is 24746619540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 817, 460, 230, 467

1. What is the LCM of 282, 817, 460, 230, 467?

Answer: LCM of 282, 817, 460, 230, 467 is 24746619540.

2. How to calculate the LCM of 282, 817, 460, 230, 467?

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, 817, 460, 230, 467.

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}.