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LCM of 399, 395, 935, 632

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


Find the LCM of 399, 395, 935, 632 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 399, 395, 935, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,395,935,632

Given numbers are 399,395,935,632

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

The LCM of 399,395,935,632 is 235777080.

Find LCM of 399,395,935,632 with Prime Factorization


5 399, 395, 935, 632
79 399, 79, 187, 632
399, 1, 187, 8

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

5 x 79 x 399 x 1 x 187 x 8 = 235777080

Therefore, the lowest common multiple of 399,395,935,632 is 235777080.

LCM Formula to Find Lowest Common Multiple of 399,395,935,632

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.

399 x 395 x 935 x 632 = 93131946600

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

395 : 1, 5, 79, 395

935 : 1, 5, 11, 17, 55, 85, 187, 935

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,395,935,632, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

395:5x 79

935:5x 11x 17

632:2x 2x 2x 79

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

5x 79 = 395

Therefore, the value for common factors is 395.

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 = 93131946600/(1x395)

LCM = 93131946600/395

LCM = 235777080

Thus, we can understand that the LCM of 399,395,935,632 is 235777080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 395, 935, 632

1. What is the LCM of 399, 395, 935, 632?

Answer: LCM of 399, 395, 935, 632 is 235777080.

2. How to calculate the LCM of 399, 395, 935, 632?

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 399, 395, 935, 632.

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}.