LCM of 344, 217, 239, 688, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 217, 239, 688, 768 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 344, 217, 239, 688, 768. So, keep reading to learn more.
Given numbers are 344,217,239,688,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,217,239,688,768 is 1712723712.
Find LCM of 344,217,239,688,768 with Prime Factorization
| 2 | 344, 217, 239, 688, 768 |
| 2 | 172, 217, 239, 344, 384 |
| 2 | 86, 217, 239, 172, 192 |
| 2 | 43, 217, 239, 86, 96 |
| 43 | 43, 217, 239, 43, 48 |
| 1, 217, 239, 1, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 1 x 217 x 239 x 1 x 48 = 1712723712
Therefore, the lowest common multiple of 344,217,239,688,768 is 1712723712.
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.
344 x 217 x 239 x 688 x 768 = 9426831310848
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
217 : 1, 7, 31, 217
239 : 1, 239
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,217,239,688,768, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
217:7x 31
239:239
688:2x 2x 2x 2x 43
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 43 = 5504
Therefore, the value for common factors is 5504.
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 = 9426831310848/(1x5504)
LCM = 9426831310848/5504
LCM = 1712723712
Thus, we can understand that the LCM of 344,217,239,688,768 is 1712723712.
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FAQs on LCM of 344, 217, 239, 688, 768
1. What is the LCM of 344, 217, 239, 688, 768?
Answer: LCM of 344, 217, 239, 688, 768 is 1712723712.
2. How to calculate the LCM of 344, 217, 239, 688, 768?
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 344, 217, 239, 688, 768.
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}.