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LCM of 933, 962, 636, 962

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


Find the LCM of 933, 962, 636, 962 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 933, 962, 636, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,962,636,962

Given numbers are 933,962,636,962

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

The LCM of 933,962,636,962 is 95139876.

Find LCM of 933,962,636,962 with Prime Factorization


2 933, 962, 636, 962
3 933, 481, 318, 481
13 311, 481, 106, 481
37 311, 37, 106, 37
311, 1, 106, 1

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

2 x 3 x 13 x 37 x 311 x 1 x 106 x 1 = 95139876

Therefore, the lowest common multiple of 933,962,636,962 is 95139876.

LCM Formula to Find Lowest Common Multiple of 933,962,636,962

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.

933 x 962 x 636 x 962 = 549147364272

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.

933 : 1, 3, 311, 933

962 : 1, 2, 13, 26, 37, 74, 481, 962

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,962,636,962, is 1.

Now, the common factors can be found like this.

933:3x 311

962:2x 13x 37

636:2x 2x 3x 53

962:2x 13x 37

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

2x 2x 3x 13x 37 = 5772

Therefore, the value for common factors is 5772.

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 = 549147364272/(1x5772)

LCM = 549147364272/5772

LCM = 95139876

Thus, we can understand that the LCM of 933,962,636,962 is 95139876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 962, 636, 962

1. What is the LCM of 933, 962, 636, 962?

Answer: LCM of 933, 962, 636, 962 is 95139876.

2. How to calculate the LCM of 933, 962, 636, 962?

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 933, 962, 636, 962.

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}.