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LCM of 886, 537, 732, 915, 145

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


Find the LCM of 886, 537, 732, 915, 145 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, 537, 732, 915, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,537,732,915,145

Given numbers are 886,537,732,915,145

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

The LCM of 886,537,732,915,145 is 8416583580.

Find LCM of 886,537,732,915,145 with Prime Factorization


2 886, 537, 732, 915, 145
3 443, 537, 366, 915, 145
5 443, 179, 122, 305, 145
61 443, 179, 122, 61, 29
443, 179, 2, 1, 29

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

2 x 3 x 5 x 61 x 443 x 179 x 2 x 1 x 29 = 8416583580

Therefore, the lowest common multiple of 886,537,732,915,145 is 8416583580.

LCM Formula to Find Lowest Common Multiple of 886,537,732,915,145

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 537 x 732 x 915 x 145 = 46207043854200

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

537 : 1, 3, 179, 537

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

915 : 1, 3, 5, 15, 61, 183, 305, 915

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,537,732,915,145, is 1.

Now, the common factors can be found like this.

886:2x 443

537:3x 179

732:2x 2x 3x 61

915:3x 5x 61

145:5x 29

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 3x 5x 61 = 5490

Therefore, the value for common factors is 5490.

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 = 46207043854200/(1x5490)

LCM = 46207043854200/5490

LCM = 8416583580

Thus, we can understand that the LCM of 886,537,732,915,145 is 8416583580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 537, 732, 915, 145

1. What is the LCM of 886, 537, 732, 915, 145?

Answer: LCM of 886, 537, 732, 915, 145 is 8416583580.

2. How to calculate the LCM of 886, 537, 732, 915, 145?

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, 537, 732, 915, 145.

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}.