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LCM of 456, 792, 286

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


Find the LCM of 456, 792, 286 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 456, 792, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,792,286

Given numbers are 456,792,286

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

The LCM of 456,792,286 is 195624.

Find LCM of 456,792,286 with Prime Factorization


2 456, 792, 286
2 228, 396, 143
2 114, 198, 143
3 57, 99, 143
11 19, 33, 143
19, 3, 13

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

2 x 2 x 2 x 3 x 11 x 19 x 3 x 13 = 195624

Therefore, the lowest common multiple of 456,792,286 is 195624.

LCM Formula to Find Lowest Common Multiple of 456,792,286

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.

456 x 792 x 286 = 103289472

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,792,286, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

792:2x 2x 2x 3x 3x 11

286:2x 11x 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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 103289472/(2x264)

LCM = 103289472/528

LCM = 195624

Thus, we can understand that the LCM of 456,792,286 is 195624.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 456, 792, 286

1. What is the LCM of 456, 792, 286?

Answer: LCM of 456, 792, 286 is 195624.

2. How to calculate the LCM of 456, 792, 286?

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 456, 792, 286.

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}.