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LCM of 686, 345, 850, 138

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


Find the LCM of 686, 345, 850, 138 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 686, 345, 850, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,345,850,138

Given numbers are 686,345,850,138

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

The LCM of 686,345,850,138 is 20116950.

Find LCM of 686,345,850,138 with Prime Factorization


2 686, 345, 850, 138
3 343, 345, 425, 69
5 343, 115, 425, 23
23 343, 23, 85, 23
343, 1, 85, 1

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

2 x 3 x 5 x 23 x 343 x 1 x 85 x 1 = 20116950

Therefore, the lowest common multiple of 686,345,850,138 is 20116950.

LCM Formula to Find Lowest Common Multiple of 686,345,850,138

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.

686 x 345 x 850 x 138 = 27761391000

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

345 : 1, 3, 5, 15, 23, 69, 115, 345

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,345,850,138, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

345:3x 5x 23

850:2x 5x 5x 17

138:2x 3x 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 3x 5x 23 = 1380

Therefore, the value for common factors is 1380.

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 = 27761391000/(1x1380)

LCM = 27761391000/1380

LCM = 20116950

Thus, we can understand that the LCM of 686,345,850,138 is 20116950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 345, 850, 138

1. What is the LCM of 686, 345, 850, 138?

Answer: LCM of 686, 345, 850, 138 is 20116950.

2. How to calculate the LCM of 686, 345, 850, 138?

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 686, 345, 850, 138.

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}.