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LCM of 320, 382, 551, 937

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


Find the LCM of 320, 382, 551, 937 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 320, 382, 551, 937. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 320,382,551,937

Given numbers are 320,382,551,937

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

The LCM of 320,382,551,937 is 31555461440.

Find LCM of 320,382,551,937 with Prime Factorization


2 320, 382, 551, 937
160, 191, 551, 937

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

2 x 160 x 191 x 551 x 937 = 31555461440

Therefore, the lowest common multiple of 320,382,551,937 is 31555461440.

LCM Formula to Find Lowest Common Multiple of 320,382,551,937

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.

320 x 382 x 551 x 937 = 63110922880

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

382 : 1, 2, 191, 382

551 : 1, 19, 29, 551

937 : 1, 937

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,382,551,937, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

382:2x 191

551:19x 29

937:937

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63110922880/(1x2)

LCM = 63110922880/2

LCM = 31555461440

Thus, we can understand that the LCM of 320,382,551,937 is 31555461440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 320, 382, 551, 937

1. What is the LCM of 320, 382, 551, 937?

Answer: LCM of 320, 382, 551, 937 is 31555461440.

2. How to calculate the LCM of 320, 382, 551, 937?

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 320, 382, 551, 937.

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}.