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LCM of 482, 462, 234, 715, 824

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


Find the LCM of 482, 462, 234, 715, 824 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 482, 462, 234, 715, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,462,234,715,824

Given numbers are 482,462,234,715,824

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

The LCM of 482,462,234,715,824 is 8945216280.

Find LCM of 482,462,234,715,824 with Prime Factorization


2 482, 462, 234, 715, 824
3 241, 231, 117, 715, 412
11 241, 77, 39, 715, 412
13 241, 7, 39, 65, 412
241, 7, 3, 5, 412

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

2 x 3 x 11 x 13 x 241 x 7 x 3 x 5 x 412 = 8945216280

Therefore, the lowest common multiple of 482,462,234,715,824 is 8945216280.

LCM Formula to Find Lowest Common Multiple of 482,462,234,715,824

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.

482 x 462 x 234 x 715 x 824 = 30699982272960

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.

482 : 1, 2, 241, 482

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

715 : 1, 5, 11, 13, 55, 65, 143, 715

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,462,234,715,824, is 1.

Now, the common factors can be found like this.

482:2x 241

462:2x 3x 7x 11

234:2x 3x 3x 13

715:5x 11x 13

824:2x 2x 2x 103

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 2x 3x 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 30699982272960/(1x3432)

LCM = 30699982272960/3432

LCM = 8945216280

Thus, we can understand that the LCM of 482,462,234,715,824 is 8945216280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 462, 234, 715, 824

1. What is the LCM of 482, 462, 234, 715, 824?

Answer: LCM of 482, 462, 234, 715, 824 is 8945216280.

2. How to calculate the LCM of 482, 462, 234, 715, 824?

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 482, 462, 234, 715, 824.

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}.