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LCM of 886, 568, 430, 749, 642

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


Find the LCM of 886, 568, 430, 749, 642 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, 568, 430, 749, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,568,430,749,642

Given numbers are 886,568,430,749,642

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

The LCM of 886,568,430,749,642 is 121560812520.

Find LCM of 886,568,430,749,642 with Prime Factorization


2 886, 568, 430, 749, 642
107 443, 284, 215, 749, 321
443, 284, 215, 7, 3

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

2 x 107 x 443 x 284 x 215 x 7 x 3 = 121560812520

Therefore, the lowest common multiple of 886,568,430,749,642 is 121560812520.

LCM Formula to Find Lowest Common Multiple of 886,568,430,749,642

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 568 x 430 x 749 x 642 = 104056055517120

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

430 : 1, 2, 5, 10, 43, 86, 215, 430

749 : 1, 7, 107, 749

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,568,430,749,642, is 1.

Now, the common factors can be found like this.

886:2x 443

568:2x 2x 2x 71

430:2x 5x 43

749:7x 107

642:2x 3x 107

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 107 = 856

Therefore, the value for common factors is 856.

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 = 104056055517120/(1x856)

LCM = 104056055517120/856

LCM = 121560812520

Thus, we can understand that the LCM of 886,568,430,749,642 is 121560812520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 568, 430, 749, 642

1. What is the LCM of 886, 568, 430, 749, 642?

Answer: LCM of 886, 568, 430, 749, 642 is 121560812520.

2. How to calculate the LCM of 886, 568, 430, 749, 642?

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, 568, 430, 749, 642.

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}.