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LCM of 667, 358, 936, 285, 857

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


Find the LCM of 667, 358, 936, 285, 857 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 667, 358, 936, 285, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,358,936,285,857

Given numbers are 667,358,936,285,857

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

The LCM of 667,358,936,285,857 is 9098276704920.

Find LCM of 667,358,936,285,857 with Prime Factorization


2 667, 358, 936, 285, 857
3 667, 179, 468, 285, 857
667, 179, 156, 95, 857

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

2 x 3 x 667 x 179 x 156 x 95 x 857 = 9098276704920

Therefore, the lowest common multiple of 667,358,936,285,857 is 9098276704920.

LCM Formula to Find Lowest Common Multiple of 667,358,936,285,857

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.

667 x 358 x 936 x 285 x 857 = 54589660229520

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.

667 : 1, 23, 29, 667

358 : 1, 2, 179, 358

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

285 : 1, 3, 5, 15, 19, 57, 95, 285

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,358,936,285,857, is 1.

Now, the common factors can be found like this.

667:23x 29

358:2x 179

936:2x 2x 2x 3x 3x 13

285:3x 5x 19

857:857

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 54589660229520/(1x6)

LCM = 54589660229520/6

LCM = 9098276704920

Thus, we can understand that the LCM of 667,358,936,285,857 is 9098276704920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 358, 936, 285, 857

1. What is the LCM of 667, 358, 936, 285, 857?

Answer: LCM of 667, 358, 936, 285, 857 is 9098276704920.

2. How to calculate the LCM of 667, 358, 936, 285, 857?

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 667, 358, 936, 285, 857.

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}.