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LCM of 909, 886, 510, 629

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


Find the LCM of 909, 886, 510, 629 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 909, 886, 510, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,886,510,629

Given numbers are 909,886,510,629

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

The LCM of 909,886,510,629 is 2532901230.

Find LCM of 909,886,510,629 with Prime Factorization


2 909, 886, 510, 629
3 909, 443, 255, 629
17 303, 443, 85, 629
303, 443, 5, 37

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

2 x 3 x 17 x 303 x 443 x 5 x 37 = 2532901230

Therefore, the lowest common multiple of 909,886,510,629 is 2532901230.

LCM Formula to Find Lowest Common Multiple of 909,886,510,629

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.

909 x 886 x 510 x 629 = 258355925460

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.

909 : 1, 3, 9, 101, 303, 909

886 : 1, 2, 443, 886

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,886,510,629, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

886:2x 443

510:2x 3x 5x 17

629:17x 37

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 17 = 102

Therefore, the value for common factors is 102.

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 = 258355925460/(1x102)

LCM = 258355925460/102

LCM = 2532901230

Thus, we can understand that the LCM of 909,886,510,629 is 2532901230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 886, 510, 629

1. What is the LCM of 909, 886, 510, 629?

Answer: LCM of 909, 886, 510, 629 is 2532901230.

2. How to calculate the LCM of 909, 886, 510, 629?

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 909, 886, 510, 629.

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}.