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LCM of 591, 280, 713, 644

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


Find the LCM of 591, 280, 713, 644 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, 280, 713, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,280,713,644

Given numbers are 591,280,713,644

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

The LCM of 591,280,713,644 is 117987240.

Find LCM of 591,280,713,644 with Prime Factorization


2 591, 280, 713, 644
2 591, 140, 713, 322
7 591, 70, 713, 161
23 591, 10, 713, 23
591, 10, 31, 1

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

2 x 2 x 7 x 23 x 591 x 10 x 31 x 1 = 117987240

Therefore, the lowest common multiple of 591,280,713,644 is 117987240.

LCM Formula to Find Lowest Common Multiple of 591,280,713,644

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 280 x 713 x 644 = 75983782560

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

713 : 1, 23, 31, 713

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,280,713,644, is 1.

Now, the common factors can be found like this.

591:3x 197

280:2x 2x 2x 5x 7

713:23x 31

644:2x 2x 7x 23

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 7x 23 = 644

Therefore, the value for common factors is 644.

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 = 75983782560/(1x644)

LCM = 75983782560/644

LCM = 117987240

Thus, we can understand that the LCM of 591,280,713,644 is 117987240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 280, 713, 644

1. What is the LCM of 591, 280, 713, 644?

Answer: LCM of 591, 280, 713, 644 is 117987240.

2. How to calculate the LCM of 591, 280, 713, 644?

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, 280, 713, 644.

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}.