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LCM of 818, 651, 627, 792

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


Find the LCM of 818, 651, 627, 792 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 818, 651, 627, 792. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,651,627,792

Given numbers are 818,651,627,792

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

The LCM of 818,651,627,792 is 1335555144.

Find LCM of 818,651,627,792 with Prime Factorization


2 818, 651, 627, 792
3 409, 651, 627, 396
11 409, 217, 209, 132
409, 217, 19, 12

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

2 x 3 x 11 x 409 x 217 x 19 x 12 = 1335555144

Therefore, the lowest common multiple of 818,651,627,792 is 1335555144.

LCM Formula to Find Lowest Common Multiple of 818,651,627,792

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.

818 x 651 x 627 x 792 = 264439918512

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.

818 : 1, 2, 409, 818

651 : 1, 3, 7, 21, 31, 93, 217, 651

627 : 1, 3, 11, 19, 33, 57, 209, 627

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,651,627,792, is 1.

Now, the common factors can be found like this.

818:2x 409

651:3x 7x 31

627:3x 11x 19

792:2x 2x 2x 3x 3x 11

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 264439918512/(1x198)

LCM = 264439918512/198

LCM = 1335555144

Thus, we can understand that the LCM of 818,651,627,792 is 1335555144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 651, 627, 792

1. What is the LCM of 818, 651, 627, 792?

Answer: LCM of 818, 651, 627, 792 is 1335555144.

2. How to calculate the LCM of 818, 651, 627, 792?

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 818, 651, 627, 792.

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}.