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LCM of 724, 350, 462, 882, 327

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


Find the LCM of 724, 350, 462, 882, 327 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 724, 350, 462, 882, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,350,462,882,327

Given numbers are 724,350,462,882,327

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

The LCM of 724,350,462,882,327 is 9570537900.

Find LCM of 724,350,462,882,327 with Prime Factorization


2 724, 350, 462, 882, 327
3 362, 175, 231, 441, 327
7 362, 175, 77, 147, 109
362, 25, 11, 21, 109

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

2 x 3 x 7 x 362 x 25 x 11 x 21 x 109 = 9570537900

Therefore, the lowest common multiple of 724,350,462,882,327 is 9570537900.

LCM Formula to Find Lowest Common Multiple of 724,350,462,882,327

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.

724 x 350 x 462 x 882 x 327 = 33764857711200

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.

724 : 1, 2, 4, 181, 362, 724

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,350,462,882,327, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

350:2x 5x 5x 7

462:2x 3x 7x 11

882:2x 3x 3x 7x 7

327:3x 109

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 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 33764857711200/(1x3528)

LCM = 33764857711200/3528

LCM = 9570537900

Thus, we can understand that the LCM of 724,350,462,882,327 is 9570537900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 350, 462, 882, 327

1. What is the LCM of 724, 350, 462, 882, 327?

Answer: LCM of 724, 350, 462, 882, 327 is 9570537900.

2. How to calculate the LCM of 724, 350, 462, 882, 327?

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 724, 350, 462, 882, 327.

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}.