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LCM of 863, 766, 766, 566, 230

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


Find the LCM of 863, 766, 766, 566, 230 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 863, 766, 766, 566, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,766,766,566,230

Given numbers are 863,766,766,566,230

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

The LCM of 863,766,766,566,230 is 21514132610.

Find LCM of 863,766,766,566,230 with Prime Factorization


2 863, 766, 766, 566, 230
383 863, 383, 383, 283, 115
863, 1, 1, 283, 115

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

2 x 383 x 863 x 1 x 1 x 283 x 115 = 21514132610

Therefore, the lowest common multiple of 863,766,766,566,230 is 21514132610.

LCM Formula to Find Lowest Common Multiple of 863,766,766,566,230

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.

863 x 766 x 766 x 566 x 230 = 65919302317040

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.

863 : 1, 863

766 : 1, 2, 383, 766

766 : 1, 2, 383, 766

566 : 1, 2, 283, 566

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,766,766,566,230, is 1.

Now, the common factors can be found like this.

863:863

766:2x 383

766:2x 383

566:2x 283

230:2x 5x 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 2x 383 = 3064

Therefore, the value for common factors is 3064.

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 = 65919302317040/(1x3064)

LCM = 65919302317040/3064

LCM = 21514132610

Thus, we can understand that the LCM of 863,766,766,566,230 is 21514132610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 766, 766, 566, 230

1. What is the LCM of 863, 766, 766, 566, 230?

Answer: LCM of 863, 766, 766, 566, 230 is 21514132610.

2. How to calculate the LCM of 863, 766, 766, 566, 230?

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 863, 766, 766, 566, 230.

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}.