LCM of 772, 386, 299, 702, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 386, 299, 702, 339 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 772, 386, 299, 702, 339. So, keep reading to learn more.
Given numbers are 772,386,299,702,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,386,299,702,339 is 704256228.
Find LCM of 772,386,299,702,339 with Prime Factorization
| 2 | 772, 386, 299, 702, 339 |
| 3 | 386, 193, 299, 351, 339 |
| 13 | 386, 193, 299, 117, 113 |
| 193 | 386, 193, 23, 9, 113 |
| 2, 1, 23, 9, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 193 x 2 x 1 x 23 x 9 x 113 = 704256228
Therefore, the lowest common multiple of 772,386,299,702,339 is 704256228.
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.
772 x 386 x 299 x 702 x 339 = 21203746512624
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.
772 : 1, 2, 4, 193, 386, 772
386 : 1, 2, 193, 386
299 : 1, 13, 23, 299
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,386,299,702,339, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
386:2x 193
299:13x 23
702:2x 3x 3x 3x 13
339:3x 113
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 3x 13x 193 = 30108
Therefore, the value for common factors is 30108.
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 = 21203746512624/(1x30108)
LCM = 21203746512624/30108
LCM = 704256228
Thus, we can understand that the LCM of 772,386,299,702,339 is 704256228.
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FAQs on LCM of 772, 386, 299, 702, 339
1. What is the LCM of 772, 386, 299, 702, 339?
Answer: LCM of 772, 386, 299, 702, 339 is 704256228.
2. How to calculate the LCM of 772, 386, 299, 702, 339?
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 772, 386, 299, 702, 339.
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}.