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LCM of 463, 825, 761, 309, 764

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


Find the LCM of 463, 825, 761, 309, 764 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 463, 825, 761, 309, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,825,761,309,764

Given numbers are 463,825,761,309,764

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

The LCM of 463,825,761,309,764 is 22874424668700.

Find LCM of 463,825,761,309,764 with Prime Factorization


3 463, 825, 761, 309, 764
463, 275, 761, 103, 764

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

3 x 463 x 275 x 761 x 103 x 764 = 22874424668700

Therefore, the lowest common multiple of 463,825,761,309,764 is 22874424668700.

LCM Formula to Find Lowest Common Multiple of 463,825,761,309,764

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.

463 x 825 x 761 x 309 x 764 = 68623274006100

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.

463 : 1, 463

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

761 : 1, 761

309 : 1, 3, 103, 309

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,825,761,309,764, is 1.

Now, the common factors can be found like this.

463:463

825:3x 5x 5x 11

761:761

309:3x 103

764:2x 2x 191

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

3 = 3

Therefore, the value for common factors is 3.

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 = 68623274006100/(1x3)

LCM = 68623274006100/3

LCM = 22874424668700

Thus, we can understand that the LCM of 463,825,761,309,764 is 22874424668700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 825, 761, 309, 764

1. What is the LCM of 463, 825, 761, 309, 764?

Answer: LCM of 463, 825, 761, 309, 764 is 22874424668700.

2. How to calculate the LCM of 463, 825, 761, 309, 764?

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 463, 825, 761, 309, 764.

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}.