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LCM of 364, 836, 121, 684, 446

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


Find the LCM of 364, 836, 121, 684, 446 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 364, 836, 121, 684, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,836,121,684,446

Given numbers are 364,836,121,684,446

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

The LCM of 364,836,121,684,446 is 1679529852.

Find LCM of 364,836,121,684,446 with Prime Factorization


2 364, 836, 121, 684, 446
2 182, 418, 121, 342, 223
11 91, 209, 121, 171, 223
19 91, 19, 11, 171, 223
91, 1, 11, 9, 223

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

2 x 2 x 11 x 19 x 91 x 1 x 11 x 9 x 223 = 1679529852

Therefore, the lowest common multiple of 364,836,121,684,446 is 1679529852.

LCM Formula to Find Lowest Common Multiple of 364,836,121,684,446

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.

364 x 836 x 121 x 684 x 446 = 11232695650176

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

121 : 1, 11, 121

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,836,121,684,446, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

836:2x 2x 11x 19

121:11x 11

684:2x 2x 3x 3x 19

446:2x 223

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 = 11232695650176/(1x6688)

LCM = 11232695650176/6688

LCM = 1679529852

Thus, we can understand that the LCM of 364,836,121,684,446 is 1679529852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 836, 121, 684, 446

1. What is the LCM of 364, 836, 121, 684, 446?

Answer: LCM of 364, 836, 121, 684, 446 is 1679529852.

2. How to calculate the LCM of 364, 836, 121, 684, 446?

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 364, 836, 121, 684, 446.

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}.