LCM of 337, 968, 165, 333, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 968, 165, 333, 920 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 337, 968, 165, 333, 920. So, keep reading to learn more.
Given numbers are 337,968,165,333,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,968,165,333,920 is 12492441720.
Find LCM of 337,968,165,333,920 with Prime Factorization
| 2 | 337, 968, 165, 333, 920 |
| 2 | 337, 484, 165, 333, 460 |
| 2 | 337, 242, 165, 333, 230 |
| 3 | 337, 121, 165, 333, 115 |
| 5 | 337, 121, 55, 111, 115 |
| 11 | 337, 121, 11, 111, 23 |
| 337, 1, 11, 111, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 337 x 1 x 11 x 111 x 23 = 12492441720
Therefore, the lowest common multiple of 337,968,165,333,920 is 12492441720.
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.
337 x 968 x 165 x 333 x 920 = 16490023070400
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.
337 : 1, 337
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
165 : 1, 3, 5, 11, 15, 33, 55, 165
333 : 1, 3, 9, 37, 111, 333
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,968,165,333,920, is 1.
Now, the common factors can be found like this.
337:337
968:2x 2x 2x 11x 11
165:3x 5x 11
333:3x 3x 37
920:2x 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 2x 2x 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 16490023070400/(1x1320)
LCM = 16490023070400/1320
LCM = 12492441720
Thus, we can understand that the LCM of 337,968,165,333,920 is 12492441720.
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FAQs on LCM of 337, 968, 165, 333, 920
1. What is the LCM of 337, 968, 165, 333, 920?
Answer: LCM of 337, 968, 165, 333, 920 is 12492441720.
2. How to calculate the LCM of 337, 968, 165, 333, 920?
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 337, 968, 165, 333, 920.
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}.