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LCM of 939, 605, 432, 398, 964

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


Find the LCM of 939, 605, 432, 398, 964 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 939, 605, 432, 398, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,605,432,398,964

Given numbers are 939,605,432,398,964

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

The LCM of 939,605,432,398,964 is 3923318607120.

Find LCM of 939,605,432,398,964 with Prime Factorization


2 939, 605, 432, 398, 964
2 939, 605, 216, 199, 482
3 939, 605, 108, 199, 241
313, 605, 36, 199, 241

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

2 x 2 x 3 x 313 x 605 x 36 x 199 x 241 = 3923318607120

Therefore, the lowest common multiple of 939,605,432,398,964 is 3923318607120.

LCM Formula to Find Lowest Common Multiple of 939,605,432,398,964

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.

939 x 605 x 432 x 398 x 964 = 94159646570880

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.

939 : 1, 3, 313, 939

605 : 1, 5, 11, 55, 121, 605

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

398 : 1, 2, 199, 398

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,605,432,398,964, is 1.

Now, the common factors can be found like this.

939:3x 313

605:5x 11x 11

432:2x 2x 2x 2x 3x 3x 3

398:2x 199

964:2x 2x 241

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 94159646570880/(1x24)

LCM = 94159646570880/24

LCM = 3923318607120

Thus, we can understand that the LCM of 939,605,432,398,964 is 3923318607120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 605, 432, 398, 964

1. What is the LCM of 939, 605, 432, 398, 964?

Answer: LCM of 939, 605, 432, 398, 964 is 3923318607120.

2. How to calculate the LCM of 939, 605, 432, 398, 964?

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 939, 605, 432, 398, 964.

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}.