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LCM of 720, 867, 170, 133

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


Find the LCM of 720, 867, 170, 133 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 720, 867, 170, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,867,170,133

Given numbers are 720,867,170,133

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

The LCM of 720,867,170,133 is 27674640.

Find LCM of 720,867,170,133 with Prime Factorization


2 720, 867, 170, 133
3 360, 867, 85, 133
5 120, 289, 85, 133
17 24, 289, 17, 133
24, 1, 17, 133

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

2 x 3 x 5 x 17 x 24 x 1 x 17 x 133 = 27674640

Therefore, the lowest common multiple of 720,867,170,133 is 27674640.

LCM Formula to Find Lowest Common Multiple of 720,867,170,133

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.

720 x 867 x 170 x 133 = 14114066400

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

867 : 1, 3, 17, 51, 289, 867

170 : 1, 2, 5, 10, 17, 34, 85, 170

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,867,170,133, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

867:3x 17x 17

170:2x 5x 17

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 14114066400/(1x510)

LCM = 14114066400/510

LCM = 27674640

Thus, we can understand that the LCM of 720,867,170,133 is 27674640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 867, 170, 133

1. What is the LCM of 720, 867, 170, 133?

Answer: LCM of 720, 867, 170, 133 is 27674640.

2. How to calculate the LCM of 720, 867, 170, 133?

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 720, 867, 170, 133.

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}.