LCM of 701, 711, 144, 537, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 711, 144, 537, 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 701, 711, 144, 537, 768. So, keep reading to learn more.
Given numbers are 701,711,144,537,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,711,144,537,768 is 22839185664.
Find LCM of 701,711,144,537,768 with Prime Factorization
| 2 | 701, 711, 144, 537, 768 |
| 2 | 701, 711, 72, 537, 384 |
| 2 | 701, 711, 36, 537, 192 |
| 2 | 701, 711, 18, 537, 96 |
| 3 | 701, 711, 9, 537, 48 |
| 3 | 701, 237, 3, 179, 16 |
| 701, 79, 1, 179, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 701 x 79 x 1 x 179 x 16 = 22839185664
Therefore, the lowest common multiple of 701,711,144,537,768 is 22839185664.
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.
701 x 711 x 144 x 537 x 768 = 29599584620544
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.
701 : 1, 701
711 : 1, 3, 9, 79, 237, 711
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
537 : 1, 3, 179, 537
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 701,711,144,537,768, is 1.
Now, the common factors can be found like this.
701:701
711:3x 3x 79
144:2x 2x 2x 2x 3x 3
537:3x 179
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 29599584620544/(1x1296)
LCM = 29599584620544/1296
LCM = 22839185664
Thus, we can understand that the LCM of 701,711,144,537,768 is 22839185664.
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FAQs on LCM of 701, 711, 144, 537, 768
1. What is the LCM of 701, 711, 144, 537, 768?
Answer: LCM of 701, 711, 144, 537, 768 is 22839185664.
2. How to calculate the LCM of 701, 711, 144, 537, 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 701, 711, 144, 537, 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}.