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LCM of 358, 714, 451, 512, 494

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


Find the LCM of 358, 714, 451, 512, 494 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 358, 714, 451, 512, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,714,451,512,494

Given numbers are 358,714,451,512,494

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

The LCM of 358,714,451,512,494 is 3644724475392.

Find LCM of 358,714,451,512,494 with Prime Factorization


2 358, 714, 451, 512, 494
179, 357, 451, 256, 247

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

2 x 179 x 357 x 451 x 256 x 247 = 3644724475392

Therefore, the lowest common multiple of 358,714,451,512,494 is 3644724475392.

LCM Formula to Find Lowest Common Multiple of 358,714,451,512,494

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.

358 x 714 x 451 x 512 x 494 = 29157795803136

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.

358 : 1, 2, 179, 358

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

451 : 1, 11, 41, 451

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,714,451,512,494, is 1.

Now, the common factors can be found like this.

358:2x 179

714:2x 3x 7x 17

451:11x 41

512:2x 2x 2x 2x 2x 2x 2x 2x 2

494:2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 29157795803136/(1x8)

LCM = 29157795803136/8

LCM = 3644724475392

Thus, we can understand that the LCM of 358,714,451,512,494 is 3644724475392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 714, 451, 512, 494

1. What is the LCM of 358, 714, 451, 512, 494?

Answer: LCM of 358, 714, 451, 512, 494 is 3644724475392.

2. How to calculate the LCM of 358, 714, 451, 512, 494?

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 358, 714, 451, 512, 494.

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}.