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LCM of 400, 204, 852, 836, 365

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


Find the LCM of 400, 204, 852, 836, 365 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 400, 204, 852, 836, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,204,852,836,365

Given numbers are 400,204,852,836,365

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

The LCM of 400,204,852,836,365 is 22098238800.

Find LCM of 400,204,852,836,365 with Prime Factorization


2 400, 204, 852, 836, 365
2 200, 102, 426, 418, 365
3 100, 51, 213, 209, 365
5 100, 17, 71, 209, 365
20, 17, 71, 209, 73

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

2 x 2 x 3 x 5 x 20 x 17 x 71 x 209 x 73 = 22098238800

Therefore, the lowest common multiple of 400,204,852,836,365 is 22098238800.

LCM Formula to Find Lowest Common Multiple of 400,204,852,836,365

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.

400 x 204 x 852 x 836 x 365 = 21214309248000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,204,852,836,365, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

204:2x 2x 3x 17

852:2x 2x 3x 71

836:2x 2x 11x 19

365:5x 73

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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 21214309248000/(1x960)

LCM = 21214309248000/960

LCM = 22098238800

Thus, we can understand that the LCM of 400,204,852,836,365 is 22098238800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 204, 852, 836, 365

1. What is the LCM of 400, 204, 852, 836, 365?

Answer: LCM of 400, 204, 852, 836, 365 is 22098238800.

2. How to calculate the LCM of 400, 204, 852, 836, 365?

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 400, 204, 852, 836, 365.

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}.