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LCM of 743, 636, 939, 811

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


Find the LCM of 743, 636, 939, 811 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 743, 636, 939, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,636,939,811

Given numbers are 743,636,939,811

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

The LCM of 743,636,939,811 is 119953001964.

Find LCM of 743,636,939,811 with Prime Factorization


3 743, 636, 939, 811
743, 212, 313, 811

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

3 x 743 x 212 x 313 x 811 = 119953001964

Therefore, the lowest common multiple of 743,636,939,811 is 119953001964.

LCM Formula to Find Lowest Common Multiple of 743,636,939,811

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.

743 x 636 x 939 x 811 = 359859005892

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.

743 : 1, 743

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

939 : 1, 3, 313, 939

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,636,939,811, is 1.

Now, the common factors can be found like this.

743:743

636:2x 2x 3x 53

939:3x 313

811:811

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

3 = 3

Therefore, the value for common factors is 3.

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 = 359859005892/(1x3)

LCM = 359859005892/3

LCM = 119953001964

Thus, we can understand that the LCM of 743,636,939,811 is 119953001964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 636, 939, 811

1. What is the LCM of 743, 636, 939, 811?

Answer: LCM of 743, 636, 939, 811 is 119953001964.

2. How to calculate the LCM of 743, 636, 939, 811?

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 743, 636, 939, 811.

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}.