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LCM of 111, 886, 655, 655, 888

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


Find the LCM of 111, 886, 655, 655, 888 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 111, 886, 655, 655, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,886,655,655,888

Given numbers are 111,886,655,655,888

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

The LCM of 111,886,655,655,888 is 257666520.

Find LCM of 111,886,655,655,888 with Prime Factorization


2 111, 886, 655, 655, 888
3 111, 443, 655, 655, 444
5 37, 443, 655, 655, 148
37 37, 443, 131, 131, 148
131 1, 443, 131, 131, 4
1, 443, 1, 1, 4

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

2 x 3 x 5 x 37 x 131 x 1 x 443 x 1 x 1 x 4 = 257666520

Therefore, the lowest common multiple of 111,886,655,655,888 is 257666520.

LCM Formula to Find Lowest Common Multiple of 111,886,655,655,888

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.

111 x 886 x 655 x 655 x 888 = 37467288673200

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.

111 : 1, 3, 37, 111

886 : 1, 2, 443, 886

655 : 1, 5, 131, 655

655 : 1, 5, 131, 655

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,886,655,655,888, is 1.

Now, the common factors can be found like this.

111:3x 37

886:2x 443

655:5x 131

655:5x 131

888:2x 2x 2x 3x 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 5x 37x 131 = 145410

Therefore, the value for common factors is 145410.

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 = 37467288673200/(1x145410)

LCM = 37467288673200/145410

LCM = 257666520

Thus, we can understand that the LCM of 111,886,655,655,888 is 257666520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 886, 655, 655, 888

1. What is the LCM of 111, 886, 655, 655, 888?

Answer: LCM of 111, 886, 655, 655, 888 is 257666520.

2. How to calculate the LCM of 111, 886, 655, 655, 888?

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 111, 886, 655, 655, 888.

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}.