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LCM of 180, 864, 374, 680

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


Find the LCM of 180, 864, 374, 680 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, 864, 374, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,864,374,680

Given numbers are 180,864,374,680

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

The LCM of 180,864,374,680 is 807840.

Find LCM of 180,864,374,680 with Prime Factorization


2 180, 864, 374, 680
2 90, 432, 187, 340
2 45, 216, 187, 170
3 45, 108, 187, 85
3 15, 36, 187, 85
5 5, 12, 187, 85
17 1, 12, 187, 17
1, 12, 11, 1

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

2 x 2 x 2 x 3 x 3 x 5 x 17 x 1 x 12 x 11 x 1 = 807840

Therefore, the lowest common multiple of 180,864,374,680 is 807840.

LCM Formula to Find Lowest Common Multiple of 180,864,374,680

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 864 x 374 x 680 = 39551846400

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

374 : 1, 2, 11, 17, 22, 34, 187, 374

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,864,374,680, is 2.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

864:2x 2x 2x 2x 2x 3x 3x 3

374:2x 11x 17

680:2x 2x 2x 5x 17

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 3x 3x 5x 17 = 24480

Therefore, the value for common factors is 24480.

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 = 39551846400/(2x24480)

LCM = 39551846400/48960

LCM = 807840

Thus, we can understand that the LCM of 180,864,374,680 is 807840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 864, 374, 680

1. What is the LCM of 180, 864, 374, 680?

Answer: LCM of 180, 864, 374, 680 is 807840.

2. How to calculate the LCM of 180, 864, 374, 680?

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, 864, 374, 680.

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}.