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LCM of 418, 627, 408, 651, 959

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


Find the LCM of 418, 627, 408, 651, 959 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, 627, 408, 651, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,627,408,651,959

Given numbers are 418,627,408,651,959

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

The LCM of 418,627,408,651,959 is 2535051288.

Find LCM of 418,627,408,651,959 with Prime Factorization


2 418, 627, 408, 651, 959
3 209, 627, 204, 651, 959
7 209, 209, 68, 217, 959
11 209, 209, 68, 31, 137
19 19, 19, 68, 31, 137
1, 1, 68, 31, 137

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

2 x 3 x 7 x 11 x 19 x 1 x 1 x 68 x 31 x 137 = 2535051288

Therefore, the lowest common multiple of 418,627,408,651,959 is 2535051288.

LCM Formula to Find Lowest Common Multiple of 418,627,408,651,959

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 627 x 408 x 651 x 959 = 66758040618192

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

651 : 1, 3, 7, 21, 31, 93, 217, 651

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,627,408,651,959, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

627:3x 11x 19

408:2x 2x 2x 3x 17

651:3x 7x 31

959:7x 137

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

2x 3x 3x 7x 11x 19 = 26334

Therefore, the value for common factors is 26334.

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 = 66758040618192/(1x26334)

LCM = 66758040618192/26334

LCM = 2535051288

Thus, we can understand that the LCM of 418,627,408,651,959 is 2535051288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 627, 408, 651, 959

1. What is the LCM of 418, 627, 408, 651, 959?

Answer: LCM of 418, 627, 408, 651, 959 is 2535051288.

2. How to calculate the LCM of 418, 627, 408, 651, 959?

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, 627, 408, 651, 959.

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}.