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LCM of 180, 360, 910, 168

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


Find the LCM of 180, 360, 910, 168 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, 360, 910, 168. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,360,910,168

Given numbers are 180,360,910,168

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

The LCM of 180,360,910,168 is 32760.

Find LCM of 180,360,910,168 with Prime Factorization


2 180, 360, 910, 168
2 90, 180, 455, 84
2 45, 90, 455, 42
3 45, 45, 455, 21
3 15, 15, 455, 7
5 5, 5, 455, 7
7 1, 1, 91, 7
1, 1, 13, 1

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

2 x 2 x 2 x 3 x 3 x 5 x 7 x 1 x 1 x 13 x 1 = 32760

Therefore, the lowest common multiple of 180,360,910,168 is 32760.

LCM Formula to Find Lowest Common Multiple of 180,360,910,168

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 360 x 910 x 168 = 9906624000

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,360,910,168, is 2.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

360:2x 2x 2x 3x 3x 5

910:2x 5x 7x 13

168:2x 2x 2x 3x 7

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 3x 5x 5x 7 = 151200

Therefore, the value for common factors is 151200.

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 = 9906624000/(2x151200)

LCM = 9906624000/302400

LCM = 32760

Thus, we can understand that the LCM of 180,360,910,168 is 32760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 360, 910, 168

1. What is the LCM of 180, 360, 910, 168?

Answer: LCM of 180, 360, 910, 168 is 32760.

2. How to calculate the LCM of 180, 360, 910, 168?

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, 360, 910, 168.

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}.