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LCM of 931, 828, 899, 494

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


Find the LCM of 931, 828, 899, 494 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 931, 828, 899, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 931,828,899,494

Given numbers are 931,828,899,494

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

The LCM of 931,828,899,494 is 9009134316.

Find LCM of 931,828,899,494 with Prime Factorization


2 931, 828, 899, 494
19 931, 414, 899, 247
49, 414, 899, 13

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

2 x 19 x 49 x 414 x 899 x 13 = 9009134316

Therefore, the lowest common multiple of 931,828,899,494 is 9009134316.

LCM Formula to Find Lowest Common Multiple of 931,828,899,494

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.

931 x 828 x 899 x 494 = 342347104008

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.

931 : 1, 7, 19, 49, 133, 931

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

899 : 1, 29, 31, 899

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,828,899,494, is 1.

Now, the common factors can be found like this.

931:7x 7x 19

828:2x 2x 3x 3x 23

899:29x 31

494:2x 13x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 342347104008/(1x38)

LCM = 342347104008/38

LCM = 9009134316

Thus, we can understand that the LCM of 931,828,899,494 is 9009134316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 931, 828, 899, 494

1. What is the LCM of 931, 828, 899, 494?

Answer: LCM of 931, 828, 899, 494 is 9009134316.

2. How to calculate the LCM of 931, 828, 899, 494?

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 931, 828, 899, 494.

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}.