LCM of 662, 365, 866, 465, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 365, 866, 465, 586 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 662, 365, 866, 465, 586. So, keep reading to learn more.
Given numbers are 662,365,866,465,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,365,866,465,586 is 2850948151710.
Find LCM of 662,365,866,465,586 with Prime Factorization
| 2 | 662, 365, 866, 465, 586 |
| 5 | 331, 365, 433, 465, 293 |
| 331, 73, 433, 93, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 331 x 73 x 433 x 93 x 293 = 2850948151710
Therefore, the lowest common multiple of 662,365,866,465,586 is 2850948151710.
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.
662 x 365 x 866 x 465 x 586 = 57018963034200
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.
662 : 1, 2, 331, 662
365 : 1, 5, 73, 365
866 : 1, 2, 433, 866
465 : 1, 3, 5, 15, 31, 93, 155, 465
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,365,866,465,586, is 1.
Now, the common factors can be found like this.
662:2x 331
365:5x 73
866:2x 433
465:3x 5x 31
586:2x 293
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 5 = 20
Therefore, the value for common factors is 20.
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 = 57018963034200/(1x20)
LCM = 57018963034200/20
LCM = 2850948151710
Thus, we can understand that the LCM of 662,365,866,465,586 is 2850948151710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 662, 365, 866, 465, 586
1. What is the LCM of 662, 365, 866, 465, 586?
Answer: LCM of 662, 365, 866, 465, 586 is 2850948151710.
2. How to calculate the LCM of 662, 365, 866, 465, 586?
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 662, 365, 866, 465, 586.
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}.