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LCM of 462, 289, 612, 418

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


Find the LCM of 462, 289, 612, 418 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 462, 289, 612, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,289,612,418

Given numbers are 462,289,612,418

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

The LCM of 462,289,612,418 is 15221052.

Find LCM of 462,289,612,418 with Prime Factorization


2 462, 289, 612, 418
3 231, 289, 306, 209
11 77, 289, 102, 209
17 7, 289, 102, 19
7, 17, 6, 19

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

2 x 3 x 11 x 17 x 7 x 17 x 6 x 19 = 15221052

Therefore, the lowest common multiple of 462,289,612,418 is 15221052.

LCM Formula to Find Lowest Common Multiple of 462,289,612,418

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.

462 x 289 x 612 x 418 = 34156040688

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

289 : 1, 17, 289

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,289,612,418, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

289:17x 17

612:2x 2x 3x 3x 17

418:2x 11x 19

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 3x 11x 17 = 2244

Therefore, the value for common factors is 2244.

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 = 34156040688/(1x2244)

LCM = 34156040688/2244

LCM = 15221052

Thus, we can understand that the LCM of 462,289,612,418 is 15221052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 289, 612, 418

1. What is the LCM of 462, 289, 612, 418?

Answer: LCM of 462, 289, 612, 418 is 15221052.

2. How to calculate the LCM of 462, 289, 612, 418?

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 462, 289, 612, 418.

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}.