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LCM of 699, 466, 743

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


Find the LCM of 699, 466, 743 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, 466, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,466,743

Given numbers are 699,466,743

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

The LCM of 699,466,743 is 1038714.

Find LCM of 699,466,743 with Prime Factorization


233 699, 466, 743
3, 2, 743

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

233 x 3 x 2 x 743 = 1038714

Therefore, the lowest common multiple of 699,466,743 is 1038714.

LCM Formula to Find Lowest Common Multiple of 699,466,743

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 466 x 743 = 242020362

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

466 : 1, 2, 233, 466

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,466,743, is 1.

Now, the common factors can be found like this.

699:3x 233

466:2x 233

743:743

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

233 = 233

Therefore, the value for common factors is 233.

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 = 242020362/(1x233)

LCM = 242020362/233

LCM = 1038714

Thus, we can understand that the LCM of 699,466,743 is 1038714.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 699, 466, 743

1. What is the LCM of 699, 466, 743?

Answer: LCM of 699, 466, 743 is 1038714.

2. How to calculate the LCM of 699, 466, 743?

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, 466, 743.

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}.