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LCM of 990, 235, 115, 625

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


Find the LCM of 990, 235, 115, 625 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 990, 235, 115, 625. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,235,115,625

Given numbers are 990,235,115,625

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

The LCM of 990,235,115,625 is 133773750.

Find LCM of 990,235,115,625 with Prime Factorization


5 990, 235, 115, 625
198, 47, 23, 125

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

5 x 198 x 47 x 23 x 125 = 133773750

Therefore, the lowest common multiple of 990,235,115,625 is 133773750.

LCM Formula to Find Lowest Common Multiple of 990,235,115,625

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.

990 x 235 x 115 x 625 = 16721718750

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

235 : 1, 5, 47, 235

115 : 1, 5, 23, 115

625 : 1, 5, 25, 125, 625

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,235,115,625, is 5.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

235:5x 47

115:5x 23

625:5x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 16721718750/(5x25)

LCM = 16721718750/125

LCM = 133773750

Thus, we can understand that the LCM of 990,235,115,625 is 133773750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 235, 115, 625

1. What is the LCM of 990, 235, 115, 625?

Answer: LCM of 990, 235, 115, 625 is 133773750.

2. How to calculate the LCM of 990, 235, 115, 625?

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 990, 235, 115, 625.

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}.