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LCM of 526, 918, 790, 816

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


Find the LCM of 526, 918, 790, 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 526, 918, 790, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,918,790,816

Given numbers are 526,918,790,816

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

The LCM of 526,918,790,816 is 762931440.

Find LCM of 526,918,790,816 with Prime Factorization


2 526, 918, 790, 816
3 263, 459, 395, 408
17 263, 153, 395, 136
263, 9, 395, 8

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

2 x 3 x 17 x 263 x 9 x 395 x 8 = 762931440

Therefore, the lowest common multiple of 526,918,790,816 is 762931440.

LCM Formula to Find Lowest Common Multiple of 526,918,790,816

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.

526 x 918 x 790 x 816 = 311276027520

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.

526 : 1, 2, 263, 526

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,918,790,816, is 2.

Now, the common factors can be found like this.

526:2x 263

918:2x 3x 3x 3x 17

790:2x 5x 79

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 17 = 204

Therefore, the value for common factors is 204.

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 = 311276027520/(2x204)

LCM = 311276027520/408

LCM = 762931440

Thus, we can understand that the LCM of 526,918,790,816 is 762931440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 918, 790, 816

1. What is the LCM of 526, 918, 790, 816?

Answer: LCM of 526, 918, 790, 816 is 762931440.

2. How to calculate the LCM of 526, 918, 790, 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 526, 918, 790, 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}.