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LCM of 591, 150, 138, 752

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


Find the LCM of 591, 150, 138, 752 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 591, 150, 138, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,150,138,752

Given numbers are 591,150,138,752

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

The LCM of 591,150,138,752 is 255548400.

Find LCM of 591,150,138,752 with Prime Factorization


2 591, 150, 138, 752
3 591, 75, 69, 376
197, 25, 23, 376

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

2 x 3 x 197 x 25 x 23 x 376 = 255548400

Therefore, the lowest common multiple of 591,150,138,752 is 255548400.

LCM Formula to Find Lowest Common Multiple of 591,150,138,752

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.

591 x 150 x 138 x 752 = 9199742400

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.

591 : 1, 3, 197, 591

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,150,138,752, is 1.

Now, the common factors can be found like this.

591:3x 197

150:2x 3x 5x 5

138:2x 3x 23

752:2x 2x 2x 2x 47

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 9199742400/(1x36)

LCM = 9199742400/36

LCM = 255548400

Thus, we can understand that the LCM of 591,150,138,752 is 255548400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 150, 138, 752

1. What is the LCM of 591, 150, 138, 752?

Answer: LCM of 591, 150, 138, 752 is 255548400.

2. How to calculate the LCM of 591, 150, 138, 752?

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 591, 150, 138, 752.

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}.