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LCM of 818, 957, 410, 914, 546

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


Find the LCM of 818, 957, 410, 914, 546 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 818, 957, 410, 914, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,957,410,914,546

Given numbers are 818,957,410,914,546

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

The LCM of 818,957,410,914,546 is 6673853896710.

Find LCM of 818,957,410,914,546 with Prime Factorization


2 818, 957, 410, 914, 546
3 409, 957, 205, 457, 273
409, 319, 205, 457, 91

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

2 x 3 x 409 x 319 x 205 x 457 x 91 = 6673853896710

Therefore, the lowest common multiple of 818,957,410,914,546 is 6673853896710.

LCM Formula to Find Lowest Common Multiple of 818,957,410,914,546

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.

818 x 957 x 410 x 914 x 546 = 160172493521040

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.

818 : 1, 2, 409, 818

957 : 1, 3, 11, 29, 33, 87, 319, 957

410 : 1, 2, 5, 10, 41, 82, 205, 410

914 : 1, 2, 457, 914

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,957,410,914,546, is 1.

Now, the common factors can be found like this.

818:2x 409

957:3x 11x 29

410:2x 5x 41

914:2x 457

546:2x 3x 7x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 160172493521040/(1x24)

LCM = 160172493521040/24

LCM = 6673853896710

Thus, we can understand that the LCM of 818,957,410,914,546 is 6673853896710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 957, 410, 914, 546

1. What is the LCM of 818, 957, 410, 914, 546?

Answer: LCM of 818, 957, 410, 914, 546 is 6673853896710.

2. How to calculate the LCM of 818, 957, 410, 914, 546?

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 818, 957, 410, 914, 546.

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}.