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LCM of 998, 507, 912

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


Find the LCM of 998, 507, 912 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 998, 507, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,507,912

Given numbers are 998,507,912

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

The LCM of 998,507,912 is 76909872.

Find LCM of 998,507,912 with Prime Factorization


2 998, 507, 912
3 499, 507, 456
499, 169, 152

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

2 x 3 x 499 x 169 x 152 = 76909872

Therefore, the lowest common multiple of 998,507,912 is 76909872.

LCM Formula to Find Lowest Common Multiple of 998,507,912

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.

998 x 507 x 912 = 461459232

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.

998 : 1, 2, 499, 998

507 : 1, 3, 13, 39, 169, 507

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,507,912, is 1.

Now, the common factors can be found like this.

998:2x 499

507:3x 13x 13

912:2x 2x 2x 2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 461459232/(1x6)

LCM = 461459232/6

LCM = 76909872

Thus, we can understand that the LCM of 998,507,912 is 76909872.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 998, 507, 912

1. What is the LCM of 998, 507, 912?

Answer: LCM of 998, 507, 912 is 76909872.

2. How to calculate the LCM of 998, 507, 912?

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 998, 507, 912.

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}.