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LCM of 180, 836, 786, 397

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


Find the LCM of 180, 836, 786, 397 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 180, 836, 786, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,836,786,397

Given numbers are 180,836,786,397

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

The LCM of 180,836,786,397 is 1956503340.

Find LCM of 180,836,786,397 with Prime Factorization


2 180, 836, 786, 397
2 90, 418, 393, 397
3 45, 209, 393, 397
15, 209, 131, 397

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

2 x 2 x 3 x 15 x 209 x 131 x 397 = 1956503340

Therefore, the lowest common multiple of 180,836,786,397 is 1956503340.

LCM Formula to Find Lowest Common Multiple of 180,836,786,397

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.

180 x 836 x 786 x 397 = 46956080160

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,836,786,397, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

836:2x 2x 11x 19

786:2x 3x 131

397:397

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 3 = 24

Therefore, the value for common factors is 24.

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 = 46956080160/(1x24)

LCM = 46956080160/24

LCM = 1956503340

Thus, we can understand that the LCM of 180,836,786,397 is 1956503340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 836, 786, 397

1. What is the LCM of 180, 836, 786, 397?

Answer: LCM of 180, 836, 786, 397 is 1956503340.

2. How to calculate the LCM of 180, 836, 786, 397?

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 180, 836, 786, 397.

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}.