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LCM of 330, 187, 735, 899, 125

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


Find the LCM of 330, 187, 735, 899, 125 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 330, 187, 735, 899, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,187,735,899,125

Given numbers are 330,187,735,899,125

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

The LCM of 330,187,735,899,125 is 6178152750.

Find LCM of 330,187,735,899,125 with Prime Factorization


3 330, 187, 735, 899, 125
5 110, 187, 245, 899, 125
11 22, 187, 49, 899, 25
2, 17, 49, 899, 25

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

3 x 5 x 11 x 2 x 17 x 49 x 899 x 25 = 6178152750

Therefore, the lowest common multiple of 330,187,735,899,125 is 6178152750.

LCM Formula to Find Lowest Common Multiple of 330,187,735,899,125

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.

330 x 187 x 735 x 899 x 125 = 5096976018750

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

187 : 1, 11, 17, 187

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

899 : 1, 29, 31, 899

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,187,735,899,125, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

187:11x 17

735:3x 5x 7x 7

899:29x 31

125:5x 5x 5

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

3x 5x 5x 11 = 825

Therefore, the value for common factors is 825.

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 = 5096976018750/(1x825)

LCM = 5096976018750/825

LCM = 6178152750

Thus, we can understand that the LCM of 330,187,735,899,125 is 6178152750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 187, 735, 899, 125

1. What is the LCM of 330, 187, 735, 899, 125?

Answer: LCM of 330, 187, 735, 899, 125 is 6178152750.

2. How to calculate the LCM of 330, 187, 735, 899, 125?

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 330, 187, 735, 899, 125.

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}.