LCM of 702, 961, 768, 768, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 961, 768, 768, 566 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 702, 961, 768, 768, 566. So, keep reading to learn more.
Given numbers are 702,961,768,768,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,961,768,768,566 is 24437507328.
Find LCM of 702,961,768,768,566 with Prime Factorization
| 2 | 702, 961, 768, 768, 566 |
| 2 | 351, 961, 384, 384, 283 |
| 2 | 351, 961, 192, 192, 283 |
| 2 | 351, 961, 96, 96, 283 |
| 2 | 351, 961, 48, 48, 283 |
| 2 | 351, 961, 24, 24, 283 |
| 2 | 351, 961, 12, 12, 283 |
| 2 | 351, 961, 6, 6, 283 |
| 3 | 351, 961, 3, 3, 283 |
| 117, 961, 1, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 117 x 961 x 1 x 1 x 283 = 24437507328
Therefore, the lowest common multiple of 702,961,768,768,566 is 24437507328.
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.
702 x 961 x 768 x 768 x 566 = 225216067534848
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
961 : 1, 31, 961
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,961,768,768,566, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
961:31x 31
768:2x 2x 2x 2x 2x 2x 2x 2x 3
768:2x 2x 2x 2x 2x 2x 2x 2x 3
566:2x 283
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 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 225216067534848/(1x9216)
LCM = 225216067534848/9216
LCM = 24437507328
Thus, we can understand that the LCM of 702,961,768,768,566 is 24437507328.
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FAQs on LCM of 702, 961, 768, 768, 566
1. What is the LCM of 702, 961, 768, 768, 566?
Answer: LCM of 702, 961, 768, 768, 566 is 24437507328.
2. How to calculate the LCM of 702, 961, 768, 768, 566?
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 702, 961, 768, 768, 566.
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}.