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LCM of 380, 766, 418, 834

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


Find the LCM of 380, 766, 418, 834 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 380, 766, 418, 834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,766,418,834

Given numbers are 380,766,418,834

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

The LCM of 380,766,418,834 is 667591980.

Find LCM of 380,766,418,834 with Prime Factorization


2 380, 766, 418, 834
19 190, 383, 209, 417
10, 383, 11, 417

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

2 x 19 x 10 x 383 x 11 x 417 = 667591980

Therefore, the lowest common multiple of 380,766,418,834 is 667591980.

LCM Formula to Find Lowest Common Multiple of 380,766,418,834

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.

380 x 766 x 418 x 834 = 101473980960

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

766 : 1, 2, 383, 766

418 : 1, 2, 11, 19, 22, 38, 209, 418

834 : 1, 2, 3, 6, 139, 278, 417, 834

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,766,418,834, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

766:2x 383

418:2x 11x 19

834:2x 3x 139

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 19 = 76

Therefore, the value for common factors is 76.

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 = 101473980960/(2x76)

LCM = 101473980960/152

LCM = 667591980

Thus, we can understand that the LCM of 380,766,418,834 is 667591980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 766, 418, 834

1. What is the LCM of 380, 766, 418, 834?

Answer: LCM of 380, 766, 418, 834 is 667591980.

2. How to calculate the LCM of 380, 766, 418, 834?

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 380, 766, 418, 834.

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}.