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LCM of 107, 618, 642, 772, 566

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


Find the LCM of 107, 618, 642, 772, 566 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 107, 618, 642, 772, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,618,642,772,566

Given numbers are 107,618,642,772,566

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

The LCM of 107,618,642,772,566 is 7223471988.

Find LCM of 107,618,642,772,566 with Prime Factorization


2 107, 618, 642, 772, 566
3 107, 309, 321, 386, 283
107 107, 103, 107, 386, 283
1, 103, 1, 386, 283

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

2 x 3 x 107 x 1 x 103 x 1 x 386 x 283 = 7223471988

Therefore, the lowest common multiple of 107,618,642,772,566 is 7223471988.

LCM Formula to Find Lowest Common Multiple of 107,618,642,772,566

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.

107 x 618 x 642 x 772 x 566 = 18549876065184

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.

107 : 1, 107

618 : 1, 2, 3, 6, 103, 206, 309, 618

642 : 1, 2, 3, 6, 107, 214, 321, 642

772 : 1, 2, 4, 193, 386, 772

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,618,642,772,566, is 1.

Now, the common factors can be found like this.

107:107

618:2x 3x 103

642:2x 3x 107

772:2x 2x 193

566:2x 283

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

2x 2x 2x 3x 107 = 2568

Therefore, the value for common factors is 2568.

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 = 18549876065184/(1x2568)

LCM = 18549876065184/2568

LCM = 7223471988

Thus, we can understand that the LCM of 107,618,642,772,566 is 7223471988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 618, 642, 772, 566

1. What is the LCM of 107, 618, 642, 772, 566?

Answer: LCM of 107, 618, 642, 772, 566 is 7223471988.

2. How to calculate the LCM of 107, 618, 642, 772, 566?

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 107, 618, 642, 772, 566.

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}.