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LCM of 145, 899, 580, 553

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


Find the LCM of 145, 899, 580, 553 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 145, 899, 580, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,899,580,553

Given numbers are 145,899,580,553

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

The LCM of 145,899,580,553 is 9942940.

Find LCM of 145,899,580,553 with Prime Factorization


5 145, 899, 580, 553
29 29, 899, 116, 553
1, 31, 4, 553

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

5 x 29 x 1 x 31 x 4 x 553 = 9942940

Therefore, the lowest common multiple of 145,899,580,553 is 9942940.

LCM Formula to Find Lowest Common Multiple of 145,899,580,553

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.

145 x 899 x 580 x 553 = 41810062700

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.

145 : 1, 5, 29, 145

899 : 1, 29, 31, 899

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,899,580,553, is 1.

Now, the common factors can be found like this.

145:5x 29

899:29x 31

580:2x 2x 5x 29

553:7x 79

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

5x 29x 29 = 4205

Therefore, the value for common factors is 4205.

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 = 41810062700/(1x4205)

LCM = 41810062700/4205

LCM = 9942940

Thus, we can understand that the LCM of 145,899,580,553 is 9942940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 899, 580, 553

1. What is the LCM of 145, 899, 580, 553?

Answer: LCM of 145, 899, 580, 553 is 9942940.

2. How to calculate the LCM of 145, 899, 580, 553?

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 145, 899, 580, 553.

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}.