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LCM of 324, 278, 836, 220, 494

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


Find the LCM of 324, 278, 836, 220, 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 324, 278, 836, 220, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 324,278,836,220,494

Given numbers are 324,278,836,220,494

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

The LCM of 324,278,836,220,494 is 611814060.

Find LCM of 324,278,836,220,494 with Prime Factorization


2 324, 278, 836, 220, 494
2 162, 139, 418, 110, 247
11 81, 139, 209, 55, 247
19 81, 139, 19, 5, 247
81, 139, 1, 5, 13

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

2 x 2 x 11 x 19 x 81 x 139 x 1 x 5 x 13 = 611814060

Therefore, the lowest common multiple of 324,278,836,220,494 is 611814060.

LCM Formula to Find Lowest Common Multiple of 324,278,836,220,494

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.

324 x 278 x 836 x 220 x 494 = 8183624866560

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

278 : 1, 2, 139, 278

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,278,836,220,494, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

278:2x 139

836:2x 2x 11x 19

220:2x 2x 5x 11

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 2x 2x 2x 11x 19 = 6688

Therefore, the value for common factors is 6688.

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 = 8183624866560/(2x6688)

LCM = 8183624866560/13376

LCM = 611814060

Thus, we can understand that the LCM of 324,278,836,220,494 is 611814060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 324, 278, 836, 220, 494

1. What is the LCM of 324, 278, 836, 220, 494?

Answer: LCM of 324, 278, 836, 220, 494 is 611814060.

2. How to calculate the LCM of 324, 278, 836, 220, 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 324, 278, 836, 220, 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}.