LCM of 409, 702, 977, 416, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 702, 977, 416, 644 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 409, 702, 977, 416, 644. So, keep reading to learn more.
Given numbers are 409,702,977,416,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,702,977,416,644 is 722604800736.
Find LCM of 409,702,977,416,644 with Prime Factorization
| 2 | 409, 702, 977, 416, 644 |
| 2 | 409, 351, 977, 208, 322 |
| 13 | 409, 351, 977, 104, 161 |
| 409, 27, 977, 8, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 409 x 27 x 977 x 8 x 161 = 722604800736
Therefore, the lowest common multiple of 409,702,977,416,644 is 722604800736.
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.
409 x 702 x 977 x 416 x 644 = 75150899276544
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.
409 : 1, 409
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
977 : 1, 977
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,702,977,416,644, is 1.
Now, the common factors can be found like this.
409:409
702:2x 3x 3x 3x 13
977:977
416:2x 2x 2x 2x 2x 13
644:2x 2x 7x 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 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 75150899276544/(1x104)
LCM = 75150899276544/104
LCM = 722604800736
Thus, we can understand that the LCM of 409,702,977,416,644 is 722604800736.
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FAQs on LCM of 409, 702, 977, 416, 644
1. What is the LCM of 409, 702, 977, 416, 644?
Answer: LCM of 409, 702, 977, 416, 644 is 722604800736.
2. How to calculate the LCM of 409, 702, 977, 416, 644?
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 409, 702, 977, 416, 644.
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}.