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LCM of 824, 604, 568, 255, 986

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


Find the LCM of 824, 604, 568, 255, 986 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 824, 604, 568, 255, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,604,568,255,986

Given numbers are 824,604,568,255,986

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

The LCM of 824,604,568,255,986 is 65328199080.

Find LCM of 824,604,568,255,986 with Prime Factorization


2 824, 604, 568, 255, 986
2 412, 302, 284, 255, 493
2 206, 151, 142, 255, 493
17 103, 151, 71, 255, 493
103, 151, 71, 15, 29

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

2 x 2 x 2 x 17 x 103 x 151 x 71 x 15 x 29 = 65328199080

Therefore, the lowest common multiple of 824,604,568,255,986 is 65328199080.

LCM Formula to Find Lowest Common Multiple of 824,604,568,255,986

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.

824 x 604 x 568 x 255 x 986 = 71077080599040

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

604 : 1, 2, 4, 151, 302, 604

568 : 1, 2, 4, 8, 71, 142, 284, 568

255 : 1, 3, 5, 15, 17, 51, 85, 255

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,604,568,255,986, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

604:2x 2x 151

568:2x 2x 2x 71

255:3x 5x 17

986:2x 17x 29

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 2x 2x 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 71077080599040/(1x1088)

LCM = 71077080599040/1088

LCM = 65328199080

Thus, we can understand that the LCM of 824,604,568,255,986 is 65328199080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 604, 568, 255, 986

1. What is the LCM of 824, 604, 568, 255, 986?

Answer: LCM of 824, 604, 568, 255, 986 is 65328199080.

2. How to calculate the LCM of 824, 604, 568, 255, 986?

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 824, 604, 568, 255, 986.

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}.