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LCM of 117, 428, 642, 442

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


Find the LCM of 117, 428, 642, 442 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 117, 428, 642, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,428,642,442

Given numbers are 117,428,642,442

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

The LCM of 117,428,642,442 is 851292.

Find LCM of 117,428,642,442 with Prime Factorization


2 117, 428, 642, 442
3 117, 214, 321, 221
13 39, 214, 107, 221
107 3, 214, 107, 17
3, 2, 1, 17

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

2 x 3 x 13 x 107 x 3 x 2 x 1 x 17 = 851292

Therefore, the lowest common multiple of 117,428,642,442 is 851292.

LCM Formula to Find Lowest Common Multiple of 117,428,642,442

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.

117 x 428 x 642 x 442 = 14209766064

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.

117 : 1, 3, 9, 13, 39, 117

428 : 1, 2, 4, 107, 214, 428

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,428,642,442, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

428:2x 2x 107

642:2x 3x 107

442:2x 13x 17

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 3x 13x 107 = 16692

Therefore, the value for common factors is 16692.

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 = 14209766064/(1x16692)

LCM = 14209766064/16692

LCM = 851292

Thus, we can understand that the LCM of 117,428,642,442 is 851292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 428, 642, 442

1. What is the LCM of 117, 428, 642, 442?

Answer: LCM of 117, 428, 642, 442 is 851292.

2. How to calculate the LCM of 117, 428, 642, 442?

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 117, 428, 642, 442.

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}.