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LCM of 933, 219, 701, 730, 208

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


Find the LCM of 933, 219, 701, 730, 208 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, 219, 701, 730, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,219,701,730,208

Given numbers are 933,219,701,730,208

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

The LCM of 933,219,701,730,208 is 49654185360.

Find LCM of 933,219,701,730,208 with Prime Factorization


2 933, 219, 701, 730, 208
3 933, 219, 701, 365, 104
73 311, 73, 701, 365, 104
311, 1, 701, 5, 104

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

2 x 3 x 73 x 311 x 1 x 701 x 5 x 104 = 49654185360

Therefore, the lowest common multiple of 933,219,701,730,208 is 49654185360.

LCM Formula to Find Lowest Common Multiple of 933,219,701,730,208

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 219 x 701 x 730 x 208 = 21748533187680

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

219 : 1, 3, 73, 219

701 : 1, 701

730 : 1, 2, 5, 10, 73, 146, 365, 730

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,219,701,730,208, is 1.

Now, the common factors can be found like this.

933:3x 311

219:3x 73

701:701

730:2x 5x 73

208:2x 2x 2x 2x 13

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

2x 3x 73 = 438

Therefore, the value for common factors is 438.

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 = 21748533187680/(1x438)

LCM = 21748533187680/438

LCM = 49654185360

Thus, we can understand that the LCM of 933,219,701,730,208 is 49654185360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 219, 701, 730, 208

1. What is the LCM of 933, 219, 701, 730, 208?

Answer: LCM of 933, 219, 701, 730, 208 is 49654185360.

2. How to calculate the LCM of 933, 219, 701, 730, 208?

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, 219, 701, 730, 208.

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}.