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LCM of 435, 844, 422, 497

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


Find the LCM of 435, 844, 422, 497 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 435, 844, 422, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,844,422,497

Given numbers are 435,844,422,497

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

The LCM of 435,844,422,497 is 182468580.

Find LCM of 435,844,422,497 with Prime Factorization


2 435, 844, 422, 497
211 435, 422, 211, 497
435, 2, 1, 497

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

2 x 211 x 435 x 2 x 1 x 497 = 182468580

Therefore, the lowest common multiple of 435,844,422,497 is 182468580.

LCM Formula to Find Lowest Common Multiple of 435,844,422,497

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.

435 x 844 x 422 x 497 = 77001740760

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

844 : 1, 2, 4, 211, 422, 844

422 : 1, 2, 211, 422

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,844,422,497, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

844:2x 2x 211

422:2x 211

497:7x 71

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

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 77001740760/(1x422)

LCM = 77001740760/422

LCM = 182468580

Thus, we can understand that the LCM of 435,844,422,497 is 182468580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 844, 422, 497

1. What is the LCM of 435, 844, 422, 497?

Answer: LCM of 435, 844, 422, 497 is 182468580.

2. How to calculate the LCM of 435, 844, 422, 497?

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 435, 844, 422, 497.

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}.