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LCM of 442, 299, 841, 385

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


Find the LCM of 442, 299, 841, 385 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 442, 299, 841, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,299,841,385

Given numbers are 442,299,841,385

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

The LCM of 442,299,841,385 is 3291598310.

Find LCM of 442,299,841,385 with Prime Factorization


13 442, 299, 841, 385
34, 23, 841, 385

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

13 x 34 x 23 x 841 x 385 = 3291598310

Therefore, the lowest common multiple of 442,299,841,385 is 3291598310.

LCM Formula to Find Lowest Common Multiple of 442,299,841,385

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.

442 x 299 x 841 x 385 = 42790778030

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

299 : 1, 13, 23, 299

841 : 1, 29, 841

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,299,841,385, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

299:13x 23

841:29x 29

385:5x 7x 11

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

13 = 13

Therefore, the value for common factors is 13.

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 = 42790778030/(1x13)

LCM = 42790778030/13

LCM = 3291598310

Thus, we can understand that the LCM of 442,299,841,385 is 3291598310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 299, 841, 385

1. What is the LCM of 442, 299, 841, 385?

Answer: LCM of 442, 299, 841, 385 is 3291598310.

2. How to calculate the LCM of 442, 299, 841, 385?

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 442, 299, 841, 385.

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}.