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LCM of 969, 512, 563, 998, 858

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


Find the LCM of 969, 512, 563, 998, 858 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 969, 512, 563, 998, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,512,563,998,858

Given numbers are 969,512,563,998,858

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

The LCM of 969,512,563,998,858 is 19931441806848.

Find LCM of 969,512,563,998,858 with Prime Factorization


2 969, 512, 563, 998, 858
3 969, 256, 563, 499, 429
323, 256, 563, 499, 143

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

2 x 3 x 323 x 256 x 563 x 499 x 143 = 19931441806848

Therefore, the lowest common multiple of 969,512,563,998,858 is 19931441806848.

LCM Formula to Find Lowest Common Multiple of 969,512,563,998,858

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.

969 x 512 x 563 x 998 x 858 = 239177301682176

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

563 : 1, 563

998 : 1, 2, 499, 998

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,512,563,998,858, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

512:2x 2x 2x 2x 2x 2x 2x 2x 2

563:563

998:2x 499

858:2x 3x 11x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 239177301682176/(1x12)

LCM = 239177301682176/12

LCM = 19931441806848

Thus, we can understand that the LCM of 969,512,563,998,858 is 19931441806848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 512, 563, 998, 858

1. What is the LCM of 969, 512, 563, 998, 858?

Answer: LCM of 969, 512, 563, 998, 858 is 19931441806848.

2. How to calculate the LCM of 969, 512, 563, 998, 858?

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 969, 512, 563, 998, 858.

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}.