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LCM of 536, 827, 950, 589

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


Find the LCM of 536, 827, 950, 589 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 536, 827, 950, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 536,827,950,589

Given numbers are 536,827,950,589

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

The LCM of 536,827,950,589 is 6527180200.

Find LCM of 536,827,950,589 with Prime Factorization


2 536, 827, 950, 589
19 268, 827, 475, 589
268, 827, 25, 31

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

2 x 19 x 268 x 827 x 25 x 31 = 6527180200

Therefore, the lowest common multiple of 536,827,950,589 is 6527180200.

LCM Formula to Find Lowest Common Multiple of 536,827,950,589

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.

536 x 827 x 950 x 589 = 248032847600

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

827 : 1, 827

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,827,950,589, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

827:827

950:2x 5x 5x 19

589:19x 31

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 248032847600/(1x38)

LCM = 248032847600/38

LCM = 6527180200

Thus, we can understand that the LCM of 536,827,950,589 is 6527180200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 536, 827, 950, 589

1. What is the LCM of 536, 827, 950, 589?

Answer: LCM of 536, 827, 950, 589 is 6527180200.

2. How to calculate the LCM of 536, 827, 950, 589?

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 536, 827, 950, 589.

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}.