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LCM of 418, 380, 667, 877

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


Find the LCM of 418, 380, 667, 877 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 418, 380, 667, 877. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,380,667,877

Given numbers are 418,380,667,877

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

The LCM of 418,380,667,877 is 2445128620.

Find LCM of 418,380,667,877 with Prime Factorization


2 418, 380, 667, 877
19 209, 190, 667, 877
11, 10, 667, 877

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

2 x 19 x 11 x 10 x 667 x 877 = 2445128620

Therefore, the lowest common multiple of 418,380,667,877 is 2445128620.

LCM Formula to Find Lowest Common Multiple of 418,380,667,877

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.

418 x 380 x 667 x 877 = 92914887560

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.

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

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

667 : 1, 23, 29, 667

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,380,667,877, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

380:2x 2x 5x 19

667:23x 29

877:877

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 92914887560/(1x38)

LCM = 92914887560/38

LCM = 2445128620

Thus, we can understand that the LCM of 418,380,667,877 is 2445128620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 380, 667, 877

1. What is the LCM of 418, 380, 667, 877?

Answer: LCM of 418, 380, 667, 877 is 2445128620.

2. How to calculate the LCM of 418, 380, 667, 877?

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 418, 380, 667, 877.

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}.