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LCM of 187, 683, 953, 759, 460

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


Find the LCM of 187, 683, 953, 759, 460 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 187, 683, 953, 759, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,683,953,759,460

Given numbers are 187,683,953,759,460

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

The LCM of 187,683,953,759,460 is 167970995940.

Find LCM of 187,683,953,759,460 with Prime Factorization


11 187, 683, 953, 759, 460
23 17, 683, 953, 69, 460
17, 683, 953, 3, 20

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

11 x 23 x 17 x 683 x 953 x 3 x 20 = 167970995940

Therefore, the lowest common multiple of 187,683,953,759,460 is 167970995940.

LCM Formula to Find Lowest Common Multiple of 187,683,953,759,460

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.

187 x 683 x 953 x 759 x 460 = 42496661972820

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.

187 : 1, 11, 17, 187

683 : 1, 683

953 : 1, 953

759 : 1, 3, 11, 23, 33, 69, 253, 759

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,683,953,759,460, is 1.

Now, the common factors can be found like this.

187:11x 17

683:683

953:953

759:3x 11x 23

460:2x 2x 5x 23

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

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 42496661972820/(1x253)

LCM = 42496661972820/253

LCM = 167970995940

Thus, we can understand that the LCM of 187,683,953,759,460 is 167970995940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 683, 953, 759, 460

1. What is the LCM of 187, 683, 953, 759, 460?

Answer: LCM of 187, 683, 953, 759, 460 is 167970995940.

2. How to calculate the LCM of 187, 683, 953, 759, 460?

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 187, 683, 953, 759, 460.

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}.