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LCM of 334, 901, 676, 884, 422

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


Find the LCM of 334, 901, 676, 884, 422 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 334, 901, 676, 884, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,901,676,884,422

Given numbers are 334,901,676,884,422

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

The LCM of 334,901,676,884,422 is 21462011012.

Find LCM of 334,901,676,884,422 with Prime Factorization


2 334, 901, 676, 884, 422
2 167, 901, 338, 442, 211
13 167, 901, 169, 221, 211
17 167, 901, 13, 17, 211
167, 53, 13, 1, 211

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

2 x 2 x 13 x 17 x 167 x 53 x 13 x 1 x 211 = 21462011012

Therefore, the lowest common multiple of 334,901,676,884,422 is 21462011012.

LCM Formula to Find Lowest Common Multiple of 334,901,676,884,422

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.

334 x 901 x 676 x 884 x 422 = 75889670938432

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.

334 : 1, 2, 167, 334

901 : 1, 17, 53, 901

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,901,676,884,422, is 1.

Now, the common factors can be found like this.

334:2x 167

901:17x 53

676:2x 2x 13x 13

884:2x 2x 13x 17

422:2x 211

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 2x 2x 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 75889670938432/(1x3536)

LCM = 75889670938432/3536

LCM = 21462011012

Thus, we can understand that the LCM of 334,901,676,884,422 is 21462011012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 901, 676, 884, 422

1. What is the LCM of 334, 901, 676, 884, 422?

Answer: LCM of 334, 901, 676, 884, 422 is 21462011012.

2. How to calculate the LCM of 334, 901, 676, 884, 422?

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 334, 901, 676, 884, 422.

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}.