LCM of 768, 708, 309, 228, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 708, 309, 228, 111 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 768, 708, 309, 228, 111. So, keep reading to learn more.
Given numbers are 768,708,309,228,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,708,309,228,111 is 3280996608.
Find LCM of 768,708,309,228,111 with Prime Factorization
| 2 | 768, 708, 309, 228, 111 |
| 2 | 384, 354, 309, 114, 111 |
| 3 | 192, 177, 309, 57, 111 |
| 64, 59, 103, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 64 x 59 x 103 x 19 x 37 = 3280996608
Therefore, the lowest common multiple of 768,708,309,228,111 is 3280996608.
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.
768 x 708 x 309 x 228 x 111 = 4252171603968
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
309 : 1, 3, 103, 309
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
111 : 1, 3, 37, 111
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,708,309,228,111, is 3.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
708:2x 2x 3x 59
309:3x 103
228:2x 2x 3x 19
111:3x 37
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 4252171603968/(3x432)
LCM = 4252171603968/1296
LCM = 3280996608
Thus, we can understand that the LCM of 768,708,309,228,111 is 3280996608.
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FAQs on LCM of 768, 708, 309, 228, 111
1. What is the LCM of 768, 708, 309, 228, 111?
Answer: LCM of 768, 708, 309, 228, 111 is 3280996608.
2. How to calculate the LCM of 768, 708, 309, 228, 111?
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 768, 708, 309, 228, 111.
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}.