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LCM of 965, 782, 799, 468

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


Find the LCM of 965, 782, 799, 468 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 965, 782, 799, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,782,799,468

Given numbers are 965,782,799,468

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

The LCM of 965,782,799,468 is 8299420740.

Find LCM of 965,782,799,468 with Prime Factorization


2 965, 782, 799, 468
17 965, 391, 799, 234
965, 23, 47, 234

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

2 x 17 x 965 x 23 x 47 x 234 = 8299420740

Therefore, the lowest common multiple of 965,782,799,468 is 8299420740.

LCM Formula to Find Lowest Common Multiple of 965,782,799,468

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.

965 x 782 x 799 x 468 = 282180305160

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.

965 : 1, 5, 193, 965

782 : 1, 2, 17, 23, 34, 46, 391, 782

799 : 1, 17, 47, 799

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,782,799,468, is 1.

Now, the common factors can be found like this.

965:5x 193

782:2x 17x 23

799:17x 47

468:2x 2x 3x 3x 13

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 282180305160/(1x34)

LCM = 282180305160/34

LCM = 8299420740

Thus, we can understand that the LCM of 965,782,799,468 is 8299420740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 782, 799, 468

1. What is the LCM of 965, 782, 799, 468?

Answer: LCM of 965, 782, 799, 468 is 8299420740.

2. How to calculate the LCM of 965, 782, 799, 468?

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 965, 782, 799, 468.

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}.