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LCM of 395, 922, 814, 737

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


Find the LCM of 395, 922, 814, 737 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 395, 922, 814, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,922,814,737

Given numbers are 395,922,814,737

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

The LCM of 395,922,814,737 is 9931097110.

Find LCM of 395,922,814,737 with Prime Factorization


2 395, 922, 814, 737
11 395, 461, 407, 737
395, 461, 37, 67

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

2 x 11 x 395 x 461 x 37 x 67 = 9931097110

Therefore, the lowest common multiple of 395,922,814,737 is 9931097110.

LCM Formula to Find Lowest Common Multiple of 395,922,814,737

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.

395 x 922 x 814 x 737 = 218484136420

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.

395 : 1, 5, 79, 395

922 : 1, 2, 461, 922

814 : 1, 2, 11, 22, 37, 74, 407, 814

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,922,814,737, is 1.

Now, the common factors can be found like this.

395:5x 79

922:2x 461

814:2x 11x 37

737:11x 67

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 218484136420/(1x22)

LCM = 218484136420/22

LCM = 9931097110

Thus, we can understand that the LCM of 395,922,814,737 is 9931097110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 922, 814, 737

1. What is the LCM of 395, 922, 814, 737?

Answer: LCM of 395, 922, 814, 737 is 9931097110.

2. How to calculate the LCM of 395, 922, 814, 737?

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 395, 922, 814, 737.

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}.