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LCM of 686, 193, 632, 395, 188

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


Find the LCM of 686, 193, 632, 395, 188 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, 193, 632, 395, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,193,632,395,188

Given numbers are 686,193,632,395,188

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

The LCM of 686,193,632,395,188 is 9831875480.

Find LCM of 686,193,632,395,188 with Prime Factorization


2 686, 193, 632, 395, 188
2 343, 193, 316, 395, 94
79 343, 193, 158, 395, 47
343, 193, 2, 5, 47

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

2 x 2 x 79 x 343 x 193 x 2 x 5 x 47 = 9831875480

Therefore, the lowest common multiple of 686,193,632,395,188 is 9831875480.

LCM Formula to Find Lowest Common Multiple of 686,193,632,395,188

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 193 x 632 x 395 x 188 = 6213745303360

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

193 : 1, 193

632 : 1, 2, 4, 8, 79, 158, 316, 632

395 : 1, 5, 79, 395

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,193,632,395,188, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

193:193

632:2x 2x 2x 79

395:5x 79

188:2x 2x 47

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 2x 79 = 632

Therefore, the value for common factors is 632.

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 = 6213745303360/(1x632)

LCM = 6213745303360/632

LCM = 9831875480

Thus, we can understand that the LCM of 686,193,632,395,188 is 9831875480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 193, 632, 395, 188

1. What is the LCM of 686, 193, 632, 395, 188?

Answer: LCM of 686, 193, 632, 395, 188 is 9831875480.

2. How to calculate the LCM of 686, 193, 632, 395, 188?

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, 193, 632, 395, 188.

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}.