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LCM of 699, 899, 693, 435

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


Find the LCM of 699, 899, 693, 435 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 699, 899, 693, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,899,693,435

Given numbers are 699,899,693,435

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

The LCM of 699,899,693,435 is 725803155.

Find LCM of 699,899,693,435 with Prime Factorization


3 699, 899, 693, 435
29 233, 899, 231, 145
233, 31, 231, 5

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

3 x 29 x 233 x 31 x 231 x 5 = 725803155

Therefore, the lowest common multiple of 699,899,693,435 is 725803155.

LCM Formula to Find Lowest Common Multiple of 699,899,693,435

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.

699 x 899 x 693 x 435 = 189434623455

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.

699 : 1, 3, 233, 699

899 : 1, 29, 31, 899

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,899,693,435, is 1.

Now, the common factors can be found like this.

699:3x 233

899:29x 31

693:3x 3x 7x 11

435:3x 5x 29

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

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 189434623455/(1x261)

LCM = 189434623455/261

LCM = 725803155

Thus, we can understand that the LCM of 699,899,693,435 is 725803155.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 699, 899, 693, 435

1. What is the LCM of 699, 899, 693, 435?

Answer: LCM of 699, 899, 693, 435 is 725803155.

2. How to calculate the LCM of 699, 899, 693, 435?

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 699, 899, 693, 435.

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}.