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LCM of 436, 758, 588, 663

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


Find the LCM of 436, 758, 588, 663 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 436, 758, 588, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,758,588,663

Given numbers are 436,758,588,663

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

The LCM of 436,758,588,663 is 5368281828.

Find LCM of 436,758,588,663 with Prime Factorization


2 436, 758, 588, 663
2 218, 379, 294, 663
3 109, 379, 147, 663
109, 379, 49, 221

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

2 x 2 x 3 x 109 x 379 x 49 x 221 = 5368281828

Therefore, the lowest common multiple of 436,758,588,663 is 5368281828.

LCM Formula to Find Lowest Common Multiple of 436,758,588,663

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.

436 x 758 x 588 x 663 = 128838763872

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.

436 : 1, 2, 4, 109, 218, 436

758 : 1, 2, 379, 758

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,758,588,663, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

758:2x 379

588:2x 2x 3x 7x 7

663:3x 13x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 128838763872/(1x24)

LCM = 128838763872/24

LCM = 5368281828

Thus, we can understand that the LCM of 436,758,588,663 is 5368281828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 758, 588, 663

1. What is the LCM of 436, 758, 588, 663?

Answer: LCM of 436, 758, 588, 663 is 5368281828.

2. How to calculate the LCM of 436, 758, 588, 663?

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 436, 758, 588, 663.

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}.