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LCM of 937, 696, 830, 809

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


Find the LCM of 937, 696, 830, 809 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 937, 696, 830, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,696,830,809

Given numbers are 937,696,830,809

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

The LCM of 937,696,830,809 is 218950251720.

Find LCM of 937,696,830,809 with Prime Factorization


2 937, 696, 830, 809
937, 348, 415, 809

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

2 x 937 x 348 x 415 x 809 = 218950251720

Therefore, the lowest common multiple of 937,696,830,809 is 218950251720.

LCM Formula to Find Lowest Common Multiple of 937,696,830,809

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.

937 x 696 x 830 x 809 = 437900503440

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.

937 : 1, 937

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

830 : 1, 2, 5, 10, 83, 166, 415, 830

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,696,830,809, is 1.

Now, the common factors can be found like this.

937:937

696:2x 2x 2x 3x 29

830:2x 5x 83

809:809

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 = 437900503440/(1x2)

LCM = 437900503440/2

LCM = 218950251720

Thus, we can understand that the LCM of 937,696,830,809 is 218950251720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 696, 830, 809

1. What is the LCM of 937, 696, 830, 809?

Answer: LCM of 937, 696, 830, 809 is 218950251720.

2. How to calculate the LCM of 937, 696, 830, 809?

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 937, 696, 830, 809.

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}.