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LCM of 916, 466, 699, 505

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


Find the LCM of 916, 466, 699, 505 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 916, 466, 699, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,466,699,505

Given numbers are 916,466,699,505

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

The LCM of 916,466,699,505 is 323343420.

Find LCM of 916,466,699,505 with Prime Factorization


2 916, 466, 699, 505
233 458, 233, 699, 505
458, 1, 3, 505

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

2 x 233 x 458 x 1 x 3 x 505 = 323343420

Therefore, the lowest common multiple of 916,466,699,505 is 323343420.

LCM Formula to Find Lowest Common Multiple of 916,466,699,505

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.

916 x 466 x 699 x 505 = 150678033720

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.

916 : 1, 2, 4, 229, 458, 916

466 : 1, 2, 233, 466

699 : 1, 3, 233, 699

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,466,699,505, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

466:2x 233

699:3x 233

505:5x 101

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

2x 233 = 466

Therefore, the value for common factors is 466.

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 = 150678033720/(1x466)

LCM = 150678033720/466

LCM = 323343420

Thus, we can understand that the LCM of 916,466,699,505 is 323343420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 466, 699, 505

1. What is the LCM of 916, 466, 699, 505?

Answer: LCM of 916, 466, 699, 505 is 323343420.

2. How to calculate the LCM of 916, 466, 699, 505?

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 916, 466, 699, 505.

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}.