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LCM of 407, 661, 803, 187, 684

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


Find the LCM of 407, 661, 803, 187, 684 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 407, 661, 803, 187, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,661,803,187,684

Given numbers are 407,661,803,187,684

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

The LCM of 407,661,803,187,684 is 228361954788.

Find LCM of 407,661,803,187,684 with Prime Factorization


11 407, 661, 803, 187, 684
37, 661, 73, 17, 684

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

11 x 37 x 661 x 73 x 17 x 684 = 228361954788

Therefore, the lowest common multiple of 407,661,803,187,684 is 228361954788.

LCM Formula to Find Lowest Common Multiple of 407,661,803,187,684

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.

407 x 661 x 803 x 187 x 684 = 27631796529348

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.

407 : 1, 11, 37, 407

661 : 1, 661

803 : 1, 11, 73, 803

187 : 1, 11, 17, 187

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,661,803,187,684, is 1.

Now, the common factors can be found like this.

407:11x 37

661:661

803:11x 73

187:11x 17

684:2x 2x 3x 3x 19

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 27631796529348/(1x121)

LCM = 27631796529348/121

LCM = 228361954788

Thus, we can understand that the LCM of 407,661,803,187,684 is 228361954788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 661, 803, 187, 684

1. What is the LCM of 407, 661, 803, 187, 684?

Answer: LCM of 407, 661, 803, 187, 684 is 228361954788.

2. How to calculate the LCM of 407, 661, 803, 187, 684?

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 407, 661, 803, 187, 684.

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}.