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LCM of 6, 499, 682, 693

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


Find the LCM of 6, 499, 682, 693 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 6, 499, 682, 693. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,499,682,693

Given numbers are 6,499,682,693

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

The LCM of 6,499,682,693 is 21440034.

Find LCM of 6,499,682,693 with Prime Factorization


2 6, 499, 682, 693
3 3, 499, 341, 693
11 1, 499, 341, 231
1, 499, 31, 21

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

2 x 3 x 11 x 1 x 499 x 31 x 21 = 21440034

Therefore, the lowest common multiple of 6,499,682,693 is 21440034.

LCM Formula to Find Lowest Common Multiple of 6,499,682,693

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.

6 x 499 x 682 x 693 = 1415042244

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.

6 : 1, 2, 3, 6

499 : 1, 499

682 : 1, 2, 11, 22, 31, 62, 341, 682

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,499,682,693, is 1.

Now, the common factors can be found like this.

6:2x 3

499:499

682:2x 11x 31

693:3x 3x 7x 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 11 = 66

Therefore, the value for common factors is 66.

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 = 1415042244/(1x66)

LCM = 1415042244/66

LCM = 21440034

Thus, we can understand that the LCM of 6,499,682,693 is 21440034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 499, 682, 693

1. What is the LCM of 6, 499, 682, 693?

Answer: LCM of 6, 499, 682, 693 is 21440034.

2. How to calculate the LCM of 6, 499, 682, 693?

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 6, 499, 682, 693.

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}.