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LCM of 258, 979, 550, 816

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


Find the LCM of 258, 979, 550, 816 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 258, 979, 550, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,979,550,816

Given numbers are 258,979,550,816

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

The LCM of 258,979,550,816 is 858778800.

Find LCM of 258,979,550,816 with Prime Factorization


2 258, 979, 550, 816
3 129, 979, 275, 408
11 43, 979, 275, 136
43, 89, 25, 136

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

2 x 3 x 11 x 43 x 89 x 25 x 136 = 858778800

Therefore, the lowest common multiple of 258,979,550,816 is 858778800.

LCM Formula to Find Lowest Common Multiple of 258,979,550,816

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.

258 x 979 x 550 x 816 = 113358801600

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

979 : 1, 11, 89, 979

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,979,550,816, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

979:11x 89

550:2x 5x 5x 11

816:2x 2x 2x 2x 3x 17

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 113358801600/(1x132)

LCM = 113358801600/132

LCM = 858778800

Thus, we can understand that the LCM of 258,979,550,816 is 858778800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 979, 550, 816

1. What is the LCM of 258, 979, 550, 816?

Answer: LCM of 258, 979, 550, 816 is 858778800.

2. How to calculate the LCM of 258, 979, 550, 816?

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 258, 979, 550, 816.

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}.