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LCM of 665, 190, 989, 621, 460

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


Find the LCM of 665, 190, 989, 621, 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 665, 190, 989, 621, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,190,989,621,460

Given numbers are 665,190,989,621,460

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

The LCM of 665,190,989,621,460 is 71029980.

Find LCM of 665,190,989,621,460 with Prime Factorization


2 665, 190, 989, 621, 460
5 665, 95, 989, 621, 230
19 133, 19, 989, 621, 46
23 7, 1, 989, 621, 46
7, 1, 43, 27, 2

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

2 x 5 x 19 x 23 x 7 x 1 x 43 x 27 x 2 = 71029980

Therefore, the lowest common multiple of 665,190,989,621,460 is 71029980.

LCM Formula to Find Lowest Common Multiple of 665,190,989,621,460

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.

665 x 190 x 989 x 621 x 460 = 35696116449000

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.

665 : 1, 5, 7, 19, 35, 95, 133, 665

190 : 1, 2, 5, 10, 19, 38, 95, 190

989 : 1, 23, 43, 989

621 : 1, 3, 9, 23, 27, 69, 207, 621

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 665,190,989,621,460, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

190:2x 5x 19

989:23x 43

621:3x 3x 3x 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.

2x 5x 5x 19x 23x 23 = 502550

Therefore, the value for common factors is 502550.

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 = 35696116449000/(1x502550)

LCM = 35696116449000/502550

LCM = 71029980

Thus, we can understand that the LCM of 665,190,989,621,460 is 71029980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 190, 989, 621, 460

1. What is the LCM of 665, 190, 989, 621, 460?

Answer: LCM of 665, 190, 989, 621, 460 is 71029980.

2. How to calculate the LCM of 665, 190, 989, 621, 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 665, 190, 989, 621, 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}.