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LCM of 364, 650, 595, 208, 934

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


Find the LCM of 364, 650, 595, 208, 934 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 364, 650, 595, 208, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,650,595,208,934

Given numbers are 364,650,595,208,934

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

The LCM of 364,650,595,208,934 is 288979600.

Find LCM of 364,650,595,208,934 with Prime Factorization


2 364, 650, 595, 208, 934
2 182, 325, 595, 104, 467
5 91, 325, 595, 52, 467
7 91, 65, 119, 52, 467
13 13, 65, 17, 52, 467
1, 5, 17, 4, 467

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

2 x 2 x 5 x 7 x 13 x 1 x 5 x 17 x 4 x 467 = 288979600

Therefore, the lowest common multiple of 364,650,595,208,934 is 288979600.

LCM Formula to Find Lowest Common Multiple of 364,650,595,208,934

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.

364 x 650 x 595 x 208 x 934 = 27349029344000

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,650,595,208,934, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

650:2x 5x 5x 13

595:5x 7x 17

208:2x 2x 2x 2x 13

934:2x 467

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 2x 2x 5x 7x 13x 13 = 94640

Therefore, the value for common factors is 94640.

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 = 27349029344000/(1x94640)

LCM = 27349029344000/94640

LCM = 288979600

Thus, we can understand that the LCM of 364,650,595,208,934 is 288979600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 650, 595, 208, 934

1. What is the LCM of 364, 650, 595, 208, 934?

Answer: LCM of 364, 650, 595, 208, 934 is 288979600.

2. How to calculate the LCM of 364, 650, 595, 208, 934?

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 364, 650, 595, 208, 934.

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}.