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LCM of 899, 924, 372, 715

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


Find the LCM of 899, 924, 372, 715 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 899, 924, 372, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,924,372,715

Given numbers are 899,924,372,715

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

The LCM of 899,924,372,715 is 53993940.

Find LCM of 899,924,372,715 with Prime Factorization


2 899, 924, 372, 715
2 899, 462, 186, 715
3 899, 231, 93, 715
11 899, 77, 31, 715
31 899, 7, 31, 65
29, 7, 1, 65

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

2 x 2 x 3 x 11 x 31 x 29 x 7 x 1 x 65 = 53993940

Therefore, the lowest common multiple of 899,924,372,715 is 53993940.

LCM Formula to Find Lowest Common Multiple of 899,924,372,715

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.

899 x 924 x 372 x 715 = 220943202480

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.

899 : 1, 29, 31, 899

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,924,372,715, is 1.

Now, the common factors can be found like this.

899:29x 31

924:2x 2x 3x 7x 11

372:2x 2x 3x 31

715:5x 11x 13

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 3x 11x 31 = 4092

Therefore, the value for common factors is 4092.

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 = 220943202480/(1x4092)

LCM = 220943202480/4092

LCM = 53993940

Thus, we can understand that the LCM of 899,924,372,715 is 53993940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 924, 372, 715

1. What is the LCM of 899, 924, 372, 715?

Answer: LCM of 899, 924, 372, 715 is 53993940.

2. How to calculate the LCM of 899, 924, 372, 715?

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 899, 924, 372, 715.

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}.