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LCM of 917, 422, 186, 786, 215

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


Find the LCM of 917, 422, 186, 786, 215 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 917, 422, 186, 786, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,422,186,786,215

Given numbers are 917,422,186,786,215

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

The LCM of 917,422,186,786,215 is 7737545130.

Find LCM of 917,422,186,786,215 with Prime Factorization


2 917, 422, 186, 786, 215
3 917, 211, 93, 393, 215
131 917, 211, 31, 131, 215
7, 211, 31, 1, 215

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

2 x 3 x 131 x 7 x 211 x 31 x 1 x 215 = 7737545130

Therefore, the lowest common multiple of 917,422,186,786,215 is 7737545130.

LCM Formula to Find Lowest Common Multiple of 917,422,186,786,215

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.

917 x 422 x 186 x 786 x 215 = 12163420944360

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.

917 : 1, 7, 131, 917

422 : 1, 2, 211, 422

186 : 1, 2, 3, 6, 31, 62, 93, 186

786 : 1, 2, 3, 6, 131, 262, 393, 786

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,422,186,786,215, is 1.

Now, the common factors can be found like this.

917:7x 131

422:2x 211

186:2x 3x 31

786:2x 3x 131

215:5x 43

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 131 = 1572

Therefore, the value for common factors is 1572.

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 = 12163420944360/(1x1572)

LCM = 12163420944360/1572

LCM = 7737545130

Thus, we can understand that the LCM of 917,422,186,786,215 is 7737545130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 422, 186, 786, 215

1. What is the LCM of 917, 422, 186, 786, 215?

Answer: LCM of 917, 422, 186, 786, 215 is 7737545130.

2. How to calculate the LCM of 917, 422, 186, 786, 215?

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 917, 422, 186, 786, 215.

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}.