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LCM of 183, 764, 872, 175

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


Find the LCM of 183, 764, 872, 175 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 183, 764, 872, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 183,764,872,175

Given numbers are 183,764,872,175

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

The LCM of 183,764,872,175 is 5333827800.

Find LCM of 183,764,872,175 with Prime Factorization


2 183, 764, 872, 175
2 183, 382, 436, 175
183, 191, 218, 175

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

2 x 2 x 183 x 191 x 218 x 175 = 5333827800

Therefore, the lowest common multiple of 183,764,872,175 is 5333827800.

LCM Formula to Find Lowest Common Multiple of 183,764,872,175

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.

183 x 764 x 872 x 175 = 21335311200

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.

183 : 1, 3, 61, 183

764 : 1, 2, 4, 191, 382, 764

872 : 1, 2, 4, 8, 109, 218, 436, 872

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,764,872,175, is 1.

Now, the common factors can be found like this.

183:3x 61

764:2x 2x 191

872:2x 2x 2x 109

175:5x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 21335311200/(1x4)

LCM = 21335311200/4

LCM = 5333827800

Thus, we can understand that the LCM of 183,764,872,175 is 5333827800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 183, 764, 872, 175

1. What is the LCM of 183, 764, 872, 175?

Answer: LCM of 183, 764, 872, 175 is 5333827800.

2. How to calculate the LCM of 183, 764, 872, 175?

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 183, 764, 872, 175.

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}.