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LCM of 399, 307, 385, 893

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


Find the LCM of 399, 307, 385, 893 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, 307, 385, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,307,385,893

Given numbers are 399,307,385,893

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

The LCM of 399,307,385,893 is 316644405.

Find LCM of 399,307,385,893 with Prime Factorization


7 399, 307, 385, 893
19 57, 307, 55, 893
3, 307, 55, 47

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

7 x 19 x 3 x 307 x 55 x 47 = 316644405

Therefore, the lowest common multiple of 399,307,385,893 is 316644405.

LCM Formula to Find Lowest Common Multiple of 399,307,385,893

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 307 x 385 x 893 = 42113705865

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

307 : 1, 307

385 : 1, 5, 7, 11, 35, 55, 77, 385

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,307,385,893, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

307:307

385:5x 7x 11

893:19x 47

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 42113705865/(1x133)

LCM = 42113705865/133

LCM = 316644405

Thus, we can understand that the LCM of 399,307,385,893 is 316644405.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 307, 385, 893

1. What is the LCM of 399, 307, 385, 893?

Answer: LCM of 399, 307, 385, 893 is 316644405.

2. How to calculate the LCM of 399, 307, 385, 893?

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, 307, 385, 893.

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}.