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LCM of 395, 836, 912, 209, 161

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


Find the LCM of 395, 836, 912, 209, 161 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 395, 836, 912, 209, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,836,912,209,161

Given numbers are 395,836,912,209,161

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

The LCM of 395,836,912,209,161 is 637985040.

Find LCM of 395,836,912,209,161 with Prime Factorization


2 395, 836, 912, 209, 161
2 395, 418, 456, 209, 161
11 395, 209, 228, 209, 161
19 395, 19, 228, 19, 161
395, 1, 12, 1, 161

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

2 x 2 x 11 x 19 x 395 x 1 x 12 x 1 x 161 = 637985040

Therefore, the lowest common multiple of 395,836,912,209,161 is 637985040.

LCM Formula to Find Lowest Common Multiple of 395,836,912,209,161

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.

395 x 836 x 912 x 209 x 161 = 10133754375360

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.

395 : 1, 5, 79, 395

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

209 : 1, 11, 19, 209

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,836,912,209,161, is 1.

Now, the common factors can be found like this.

395:5x 79

836:2x 2x 11x 19

912:2x 2x 2x 2x 3x 19

209:11x 19

161:7x 23

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 11x 19x 19 = 15884

Therefore, the value for common factors is 15884.

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 = 10133754375360/(1x15884)

LCM = 10133754375360/15884

LCM = 637985040

Thus, we can understand that the LCM of 395,836,912,209,161 is 637985040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 836, 912, 209, 161

1. What is the LCM of 395, 836, 912, 209, 161?

Answer: LCM of 395, 836, 912, 209, 161 is 637985040.

2. How to calculate the LCM of 395, 836, 912, 209, 161?

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 395, 836, 912, 209, 161.

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}.