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LCM of 150, 960, 583, 166, 240

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


Find the LCM of 150, 960, 583, 166, 240 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 150, 960, 583, 166, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,960,583,166,240

Given numbers are 150,960,583,166,240

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

The LCM of 150,960,583,166,240 is 232267200.

Find LCM of 150,960,583,166,240 with Prime Factorization


2 150, 960, 583, 166, 240
2 75, 480, 583, 83, 120
2 75, 240, 583, 83, 60
2 75, 120, 583, 83, 30
3 75, 60, 583, 83, 15
5 25, 20, 583, 83, 5
1, 4, 583, 83, 5

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

2 x 2 x 2 x 2 x 3 x 5 x 1 x 4 x 583 x 83 x 5 = 232267200

Therefore, the lowest common multiple of 150,960,583,166,240 is 232267200.

LCM Formula to Find Lowest Common Multiple of 150,960,583,166,240

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.

150 x 960 x 583 x 166 x 240 = 3344647680000

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

583 : 1, 11, 53, 583

166 : 1, 2, 83, 166

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,960,583,166,240, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

960:2x 2x 2x 2x 2x 2x 3x 5

583:11x 53

166:2x 83

240:2x 2x 2x 2x 3x 5

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 3x 5x 5 = 14400

Therefore, the value for common factors is 14400.

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 = 3344647680000/(1x14400)

LCM = 3344647680000/14400

LCM = 232267200

Thus, we can understand that the LCM of 150,960,583,166,240 is 232267200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 960, 583, 166, 240

1. What is the LCM of 150, 960, 583, 166, 240?

Answer: LCM of 150, 960, 583, 166, 240 is 232267200.

2. How to calculate the LCM of 150, 960, 583, 166, 240?

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 150, 960, 583, 166, 240.

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}.