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LCM of 422, 754, 522, 265

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


Find the LCM of 422, 754, 522, 265 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 422, 754, 522, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,754,522,265

Given numbers are 422,754,522,265

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

The LCM of 422,754,522,265 is 379439190.

Find LCM of 422,754,522,265 with Prime Factorization


2 422, 754, 522, 265
29 211, 377, 261, 265
211, 13, 9, 265

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

2 x 29 x 211 x 13 x 9 x 265 = 379439190

Therefore, the lowest common multiple of 422,754,522,265 is 379439190.

LCM Formula to Find Lowest Common Multiple of 422,754,522,265

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.

422 x 754 x 522 x 265 = 44014946040

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.

422 : 1, 2, 211, 422

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,754,522,265, is 1.

Now, the common factors can be found like this.

422:2x 211

754:2x 13x 29

522:2x 3x 3x 29

265:5x 53

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 29 = 116

Therefore, the value for common factors is 116.

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 = 44014946040/(1x116)

LCM = 44014946040/116

LCM = 379439190

Thus, we can understand that the LCM of 422,754,522,265 is 379439190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 754, 522, 265

1. What is the LCM of 422, 754, 522, 265?

Answer: LCM of 422, 754, 522, 265 is 379439190.

2. How to calculate the LCM of 422, 754, 522, 265?

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 422, 754, 522, 265.

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}.