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LCM of 204, 133, 779, 642

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


Find the LCM of 204, 133, 779, 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 204, 133, 779, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,133,779,642

Given numbers are 204,133,779,642

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

The LCM of 204,133,779,642 is 119028084.

Find LCM of 204,133,779,642 with Prime Factorization


2 204, 133, 779, 642
3 102, 133, 779, 321
19 34, 133, 779, 107
34, 7, 41, 107

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

2 x 3 x 19 x 34 x 7 x 41 x 107 = 119028084

Therefore, the lowest common multiple of 204,133,779,642 is 119028084.

LCM Formula to Find Lowest Common Multiple of 204,133,779,642

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.

204 x 133 x 779 x 642 = 13569201576

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

133 : 1, 7, 19, 133

779 : 1, 19, 41, 779

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 204,133,779,642, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

133:7x 19

779:19x 41

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 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 13569201576/(1x114)

LCM = 13569201576/114

LCM = 119028084

Thus, we can understand that the LCM of 204,133,779,642 is 119028084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 133, 779, 642

1. What is the LCM of 204, 133, 779, 642?

Answer: LCM of 204, 133, 779, 642 is 119028084.

2. How to calculate the LCM of 204, 133, 779, 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 204, 133, 779, 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}.