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LCM of 267, 667, 819, 522

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


Find the LCM of 267, 667, 819, 522 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 267, 667, 819, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 267,667,819,522

Given numbers are 267,667,819,522

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

The LCM of 267,667,819,522 is 97236594.

Find LCM of 267,667,819,522 with Prime Factorization


3 267, 667, 819, 522
3 89, 667, 273, 174
29 89, 667, 91, 58
89, 23, 91, 2

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

3 x 3 x 29 x 89 x 23 x 91 x 2 = 97236594

Therefore, the lowest common multiple of 267,667,819,522 is 97236594.

LCM Formula to Find Lowest Common Multiple of 267,667,819,522

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.

267 x 667 x 819 x 522 = 76136253102

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.

267 : 1, 3, 89, 267

667 : 1, 23, 29, 667

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,667,819,522, is 1.

Now, the common factors can be found like this.

267:3x 89

667:23x 29

819:3x 3x 7x 13

522:2x 3x 3x 29

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

3x 3x 3x 29 = 783

Therefore, the value for common factors is 783.

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 = 76136253102/(1x783)

LCM = 76136253102/783

LCM = 97236594

Thus, we can understand that the LCM of 267,667,819,522 is 97236594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 267, 667, 819, 522

1. What is the LCM of 267, 667, 819, 522?

Answer: LCM of 267, 667, 819, 522 is 97236594.

2. How to calculate the LCM of 267, 667, 819, 522?

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 267, 667, 819, 522.

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}.