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LCM of 150, 823, 685, 545, 581

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


Find the LCM of 150, 823, 685, 545, 581 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 150, 823, 685, 545, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,823,685,545,581

Given numbers are 150,823,685,545,581

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

The LCM of 150,823,685,545,581 is 1071061211850.

Find LCM of 150,823,685,545,581 with Prime Factorization


5 150, 823, 685, 545, 581
30, 823, 137, 109, 581

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

5 x 30 x 823 x 137 x 109 x 581 = 1071061211850

Therefore, the lowest common multiple of 150,823,685,545,581 is 1071061211850.

LCM Formula to Find Lowest Common Multiple of 150,823,685,545,581

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.

150 x 823 x 685 x 545 x 581 = 26776530296250

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

823 : 1, 823

685 : 1, 5, 137, 685

545 : 1, 5, 109, 545

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,823,685,545,581, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

823:823

685:5x 137

545:5x 109

581:7x 83

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 = 26776530296250/(1x25)

LCM = 26776530296250/25

LCM = 1071061211850

Thus, we can understand that the LCM of 150,823,685,545,581 is 1071061211850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 823, 685, 545, 581

1. What is the LCM of 150, 823, 685, 545, 581?

Answer: LCM of 150, 823, 685, 545, 581 is 1071061211850.

2. How to calculate the LCM of 150, 823, 685, 545, 581?

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 150, 823, 685, 545, 581.

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}.