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LCM of 494, 395, 429, 720, 862

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


Find the LCM of 494, 395, 429, 720, 862 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 494, 395, 429, 720, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,395,429,720,862

Given numbers are 494,395,429,720,862

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

The LCM of 494,395,429,720,862 is 66608015760.

Find LCM of 494,395,429,720,862 with Prime Factorization


2 494, 395, 429, 720, 862
3 247, 395, 429, 360, 431
5 247, 395, 143, 120, 431
13 247, 79, 143, 24, 431
19, 79, 11, 24, 431

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

2 x 3 x 5 x 13 x 19 x 79 x 11 x 24 x 431 = 66608015760

Therefore, the lowest common multiple of 494,395,429,720,862 is 66608015760.

LCM Formula to Find Lowest Common Multiple of 494,395,429,720,862

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.

494 x 395 x 429 x 720 x 862 = 51954252292800

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

395 : 1, 5, 79, 395

429 : 1, 3, 11, 13, 33, 39, 143, 429

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,395,429,720,862, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

395:5x 79

429:3x 11x 13

720:2x 2x 2x 2x 3x 3x 5

862:2x 431

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 5x 13 = 780

Therefore, the value for common factors is 780.

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 = 51954252292800/(1x780)

LCM = 51954252292800/780

LCM = 66608015760

Thus, we can understand that the LCM of 494,395,429,720,862 is 66608015760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 395, 429, 720, 862

1. What is the LCM of 494, 395, 429, 720, 862?

Answer: LCM of 494, 395, 429, 720, 862 is 66608015760.

2. How to calculate the LCM of 494, 395, 429, 720, 862?

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 494, 395, 429, 720, 862.

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}.