LCM of 684, 307, 735, 772, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 307, 735, 772, 337 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 684, 307, 735, 772, 337. So, keep reading to learn more.
Given numbers are 684,307,735,772,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,307,735,772,337 is 3346168229460.
Find LCM of 684,307,735,772,337 with Prime Factorization
| 2 | 684, 307, 735, 772, 337 |
| 2 | 342, 307, 735, 386, 337 |
| 3 | 171, 307, 735, 193, 337 |
| 57, 307, 245, 193, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 57 x 307 x 245 x 193 x 337 = 3346168229460
Therefore, the lowest common multiple of 684,307,735,772,337 is 3346168229460.
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.
684 x 307 x 735 x 772 x 337 = 40154018753520
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
307 : 1, 307
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
772 : 1, 2, 4, 193, 386, 772
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,307,735,772,337, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
307:307
735:3x 5x 7x 7
772:2x 2x 193
337:337
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 3 = 12
Therefore, the value for common factors is 12.
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 = 40154018753520/(1x12)
LCM = 40154018753520/12
LCM = 3346168229460
Thus, we can understand that the LCM of 684,307,735,772,337 is 3346168229460.
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FAQs on LCM of 684, 307, 735, 772, 337
1. What is the LCM of 684, 307, 735, 772, 337?
Answer: LCM of 684, 307, 735, 772, 337 is 3346168229460.
2. How to calculate the LCM of 684, 307, 735, 772, 337?
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 684, 307, 735, 772, 337.
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}.