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LCM of 589, 955, 347, 560

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


Find the LCM of 589, 955, 347, 560 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 589, 955, 347, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,955,347,560

Given numbers are 589,955,347,560

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

The LCM of 589,955,347,560 is 21860805680.

Find LCM of 589,955,347,560 with Prime Factorization


5 589, 955, 347, 560
589, 191, 347, 112

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

5 x 589 x 191 x 347 x 112 = 21860805680

Therefore, the lowest common multiple of 589,955,347,560 is 21860805680.

LCM Formula to Find Lowest Common Multiple of 589,955,347,560

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.

589 x 955 x 347 x 560 = 109304028400

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.

589 : 1, 19, 31, 589

955 : 1, 5, 191, 955

347 : 1, 347

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,955,347,560, is 1.

Now, the common factors can be found like this.

589:19x 31

955:5x 191

347:347

560:2x 2x 2x 2x 5x 7

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

5 = 5

Therefore, the value for common factors is 5.

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 = 109304028400/(1x5)

LCM = 109304028400/5

LCM = 21860805680

Thus, we can understand that the LCM of 589,955,347,560 is 21860805680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 955, 347, 560

1. What is the LCM of 589, 955, 347, 560?

Answer: LCM of 589, 955, 347, 560 is 21860805680.

2. How to calculate the LCM of 589, 955, 347, 560?

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 589, 955, 347, 560.

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}.