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LCM of 933, 458, 168, 662

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


Find the LCM of 933, 458, 168, 662 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, 458, 168, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,458,168,662

Given numbers are 933,458,168,662

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

The LCM of 933,458,168,662 is 3960346152.

Find LCM of 933,458,168,662 with Prime Factorization


2 933, 458, 168, 662
3 933, 229, 84, 331
311, 229, 28, 331

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

2 x 3 x 311 x 229 x 28 x 331 = 3960346152

Therefore, the lowest common multiple of 933,458,168,662 is 3960346152.

LCM Formula to Find Lowest Common Multiple of 933,458,168,662

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 458 x 168 x 662 = 47524153824

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

458 : 1, 2, 229, 458

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,458,168,662, is 1.

Now, the common factors can be found like this.

933:3x 311

458:2x 229

168:2x 2x 2x 3x 7

662:2x 331

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 3 = 12

Therefore, the value for common factors is 12.

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 = 47524153824/(1x12)

LCM = 47524153824/12

LCM = 3960346152

Thus, we can understand that the LCM of 933,458,168,662 is 3960346152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 458, 168, 662

1. What is the LCM of 933, 458, 168, 662?

Answer: LCM of 933, 458, 168, 662 is 3960346152.

2. How to calculate the LCM of 933, 458, 168, 662?

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, 458, 168, 662.

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}.