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LCM of 642, 218, 826, 653

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


Find the LCM of 642, 218, 826, 653 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 642, 218, 826, 653. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,218,826,653

Given numbers are 642,218,826,653

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

The LCM of 642,218,826,653 is 18872296842.

Find LCM of 642,218,826,653 with Prime Factorization


2 642, 218, 826, 653
321, 109, 413, 653

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

2 x 321 x 109 x 413 x 653 = 18872296842

Therefore, the lowest common multiple of 642,218,826,653 is 18872296842.

LCM Formula to Find Lowest Common Multiple of 642,218,826,653

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.

642 x 218 x 826 x 653 = 75489187368

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.

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

218 : 1, 2, 109, 218

826 : 1, 2, 7, 14, 59, 118, 413, 826

653 : 1, 653

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,218,826,653, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

218:2x 109

826:2x 7x 59

653:653

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 75489187368/(1x4)

LCM = 75489187368/4

LCM = 18872296842

Thus, we can understand that the LCM of 642,218,826,653 is 18872296842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 218, 826, 653

1. What is the LCM of 642, 218, 826, 653?

Answer: LCM of 642, 218, 826, 653 is 18872296842.

2. How to calculate the LCM of 642, 218, 826, 653?

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 642, 218, 826, 653.

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}.