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LCM of 886, 390, 525, 745

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


Find the LCM of 886, 390, 525, 745 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 886, 390, 525, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,390,525,745

Given numbers are 886,390,525,745

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

The LCM of 886,390,525,745 is 900995550.

Find LCM of 886,390,525,745 with Prime Factorization


2 886, 390, 525, 745
3 443, 195, 525, 745
5 443, 65, 175, 745
443, 13, 35, 149

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

2 x 3 x 5 x 443 x 13 x 35 x 149 = 900995550

Therefore, the lowest common multiple of 886,390,525,745 is 900995550.

LCM Formula to Find Lowest Common Multiple of 886,390,525,745

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.

886 x 390 x 525 x 745 = 135149332500

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.

886 : 1, 2, 443, 886

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,390,525,745, is 1.

Now, the common factors can be found like this.

886:2x 443

390:2x 3x 5x 13

525:3x 5x 5x 7

745:5x 149

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 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 135149332500/(1x150)

LCM = 135149332500/150

LCM = 900995550

Thus, we can understand that the LCM of 886,390,525,745 is 900995550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 390, 525, 745

1. What is the LCM of 886, 390, 525, 745?

Answer: LCM of 886, 390, 525, 745 is 900995550.

2. How to calculate the LCM of 886, 390, 525, 745?

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 886, 390, 525, 745.

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}.