LCM of 664, 382, 764, 220, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 382, 764, 220, 417 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 664, 382, 764, 220, 417. So, keep reading to learn more.
Given numbers are 664,382,764,220,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,382,764,220,417 is 2908708440.
Find LCM of 664,382,764,220,417 with Prime Factorization
| 2 | 664, 382, 764, 220, 417 |
| 2 | 332, 191, 382, 110, 417 |
| 191 | 166, 191, 191, 55, 417 |
| 166, 1, 1, 55, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 166 x 1 x 1 x 55 x 417 = 2908708440
Therefore, the lowest common multiple of 664,382,764,220,417 is 2908708440.
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.
664 x 382 x 764 x 220 x 417 = 17778025985280
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
382 : 1, 2, 191, 382
764 : 1, 2, 4, 191, 382, 764
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,382,764,220,417, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
382:2x 191
764:2x 2x 191
220:2x 2x 5x 11
417:3x 139
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 2x 2x 191 = 6112
Therefore, the value for common factors is 6112.
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 = 17778025985280/(1x6112)
LCM = 17778025985280/6112
LCM = 2908708440
Thus, we can understand that the LCM of 664,382,764,220,417 is 2908708440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 664, 382, 764, 220, 417
1. What is the LCM of 664, 382, 764, 220, 417?
Answer: LCM of 664, 382, 764, 220, 417 is 2908708440.
2. How to calculate the LCM of 664, 382, 764, 220, 417?
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 664, 382, 764, 220, 417.
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}.