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LCM of 912, 551, 143, 990

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


Find the LCM of 912, 551, 143, 990 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 912, 551, 143, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,551,143,990

Given numbers are 912,551,143,990

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

The LCM of 912,551,143,990 is 56730960.

Find LCM of 912,551,143,990 with Prime Factorization


2 912, 551, 143, 990
3 456, 551, 143, 495
11 152, 551, 143, 165
19 152, 551, 13, 15
8, 29, 13, 15

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

2 x 3 x 11 x 19 x 8 x 29 x 13 x 15 = 56730960

Therefore, the lowest common multiple of 912,551,143,990 is 56730960.

LCM Formula to Find Lowest Common Multiple of 912,551,143,990

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.

912 x 551 x 143 x 990 = 71140623840

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.

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

551 : 1, 19, 29, 551

143 : 1, 11, 13, 143

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,551,143,990, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

551:19x 29

143:11x 13

990:2x 3x 3x 5x 11

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

2x 3x 11x 19 = 1254

Therefore, the value for common factors is 1254.

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 = 71140623840/(1x1254)

LCM = 71140623840/1254

LCM = 56730960

Thus, we can understand that the LCM of 912,551,143,990 is 56730960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 551, 143, 990

1. What is the LCM of 912, 551, 143, 990?

Answer: LCM of 912, 551, 143, 990 is 56730960.

2. How to calculate the LCM of 912, 551, 143, 990?

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 912, 551, 143, 990.

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}.