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LCM of 418, 361, 869, 780, 841

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


Find the LCM of 418, 361, 869, 780, 841 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 418, 361, 869, 780, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,361,869,780,841

Given numbers are 418,361,869,780,841

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

The LCM of 418,361,869,780,841 is 205786829820.

Find LCM of 418,361,869,780,841 with Prime Factorization


2 418, 361, 869, 780, 841
11 209, 361, 869, 390, 841
19 19, 361, 79, 390, 841
1, 19, 79, 390, 841

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

2 x 11 x 19 x 1 x 19 x 79 x 390 x 841 = 205786829820

Therefore, the lowest common multiple of 418,361,869,780,841 is 205786829820.

LCM Formula to Find Lowest Common Multiple of 418,361,869,780,841

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.

418 x 361 x 869 x 780 x 841 = 86018894864760

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

361 : 1, 19, 361

869 : 1, 11, 79, 869

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,361,869,780,841, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

361:19x 19

869:11x 79

780:2x 2x 3x 5x 13

841:29x 29

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 86018894864760/(1x418)

LCM = 86018894864760/418

LCM = 205786829820

Thus, we can understand that the LCM of 418,361,869,780,841 is 205786829820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 361, 869, 780, 841

1. What is the LCM of 418, 361, 869, 780, 841?

Answer: LCM of 418, 361, 869, 780, 841 is 205786829820.

2. How to calculate the LCM of 418, 361, 869, 780, 841?

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 418, 361, 869, 780, 841.

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}.