LCM of 655, 917, 686, 447, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 917, 686, 447, 336 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 655, 917, 686, 447, 336. So, keep reading to learn more.
Given numbers are 655,917,686,447,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,917,686,447,336 is 1606804080.
Find LCM of 655,917,686,447,336 with Prime Factorization
| 2 | 655, 917, 686, 447, 336 |
| 3 | 655, 917, 343, 447, 168 |
| 7 | 655, 917, 343, 149, 56 |
| 131 | 655, 131, 49, 149, 8 |
| 5, 1, 49, 149, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 131 x 5 x 1 x 49 x 149 x 8 = 1606804080
Therefore, the lowest common multiple of 655,917,686,447,336 is 1606804080.
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.
655 x 917 x 686 x 447 x 336 = 61884452337120
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.
655 : 1, 5, 131, 655
917 : 1, 7, 131, 917
686 : 1, 2, 7, 14, 49, 98, 343, 686
447 : 1, 3, 149, 447
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,917,686,447,336, is 1.
Now, the common factors can be found like this.
655:5x 131
917:7x 131
686:2x 7x 7x 7
447:3x 149
336:2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7x 131 = 38514
Therefore, the value for common factors is 38514.
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 = 61884452337120/(1x38514)
LCM = 61884452337120/38514
LCM = 1606804080
Thus, we can understand that the LCM of 655,917,686,447,336 is 1606804080.
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FAQs on LCM of 655, 917, 686, 447, 336
1. What is the LCM of 655, 917, 686, 447, 336?
Answer: LCM of 655, 917, 686, 447, 336 is 1606804080.
2. How to calculate the LCM of 655, 917, 686, 447, 336?
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 655, 917, 686, 447, 336.
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}.