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LCM of 476, 629, 357, 830

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


Find the LCM of 476, 629, 357, 830 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 476, 629, 357, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,629,357,830

Given numbers are 476,629,357,830

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

The LCM of 476,629,357,830 is 21926940.

Find LCM of 476,629,357,830 with Prime Factorization


2 476, 629, 357, 830
7 238, 629, 357, 415
17 34, 629, 51, 415
2, 37, 3, 415

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

2 x 7 x 17 x 2 x 37 x 3 x 415 = 21926940

Therefore, the lowest common multiple of 476,629,357,830 is 21926940.

LCM Formula to Find Lowest Common Multiple of 476,629,357,830

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.

476 x 629 x 357 x 830 = 88716399240

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

629 : 1, 17, 37, 629

357 : 1, 3, 7, 17, 21, 51, 119, 357

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,629,357,830, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

629:17x 37

357:3x 7x 17

830:2x 5x 83

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

2x 7x 17x 17 = 4046

Therefore, the value for common factors is 4046.

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 = 88716399240/(1x4046)

LCM = 88716399240/4046

LCM = 21926940

Thus, we can understand that the LCM of 476,629,357,830 is 21926940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 629, 357, 830

1. What is the LCM of 476, 629, 357, 830?

Answer: LCM of 476, 629, 357, 830 is 21926940.

2. How to calculate the LCM of 476, 629, 357, 830?

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 476, 629, 357, 830.

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}.