LCM of 247, 608, 464, 693, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 608, 464, 693, 752 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 247, 608, 464, 693, 752. So, keep reading to learn more.
Given numbers are 247,608,464,693,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,608,464,693,752 is 7465794336.
Find LCM of 247,608,464,693,752 with Prime Factorization
| 2 | 247, 608, 464, 693, 752 |
| 2 | 247, 304, 232, 693, 376 |
| 2 | 247, 152, 116, 693, 188 |
| 2 | 247, 76, 58, 693, 94 |
| 19 | 247, 38, 29, 693, 47 |
| 13, 2, 29, 693, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 13 x 2 x 29 x 693 x 47 = 7465794336
Therefore, the lowest common multiple of 247,608,464,693,752 is 7465794336.
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.
247 x 608 x 464 x 693 x 752 = 36313623650304
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.
247 : 1, 13, 19, 247
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,608,464,693,752, is 1.
Now, the common factors can be found like this.
247:13x 19
608:2x 2x 2x 2x 2x 19
464:2x 2x 2x 2x 29
693:3x 3x 7x 11
752:2x 2x 2x 2x 47
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 19 = 4864
Therefore, the value for common factors is 4864.
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 = 36313623650304/(1x4864)
LCM = 36313623650304/4864
LCM = 7465794336
Thus, we can understand that the LCM of 247,608,464,693,752 is 7465794336.
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FAQs on LCM of 247, 608, 464, 693, 752
1. What is the LCM of 247, 608, 464, 693, 752?
Answer: LCM of 247, 608, 464, 693, 752 is 7465794336.
2. How to calculate the LCM of 247, 608, 464, 693, 752?
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 247, 608, 464, 693, 752.
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}.