LCM of 247, 860, 165, 731, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 860, 165, 731, 532 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, 860, 165, 731, 532. So, keep reading to learn more.
Given numbers are 247,860,165,731,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,860,165,731,532 is 834173340.
Find LCM of 247,860,165,731,532 with Prime Factorization
| 2 | 247, 860, 165, 731, 532 |
| 2 | 247, 430, 165, 731, 266 |
| 5 | 247, 215, 165, 731, 133 |
| 19 | 247, 43, 33, 731, 133 |
| 43 | 13, 43, 33, 731, 7 |
| 13, 1, 33, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 43 x 13 x 1 x 33 x 17 x 7 = 834173340
Therefore, the lowest common multiple of 247,860,165,731,532 is 834173340.
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 860 x 165 x 731 x 532 = 13630392375600
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
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
165 : 1, 3, 5, 11, 15, 33, 55, 165
731 : 1, 17, 43, 731
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,860,165,731,532, is 1.
Now, the common factors can be found like this.
247:13x 19
860:2x 2x 5x 43
165:3x 5x 11
731:17x 43
532:2x 2x 7x 19
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 5x 19x 43 = 16340
Therefore, the value for common factors is 16340.
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 = 13630392375600/(1x16340)
LCM = 13630392375600/16340
LCM = 834173340
Thus, we can understand that the LCM of 247,860,165,731,532 is 834173340.
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FAQs on LCM of 247, 860, 165, 731, 532
1. What is the LCM of 247, 860, 165, 731, 532?
Answer: LCM of 247, 860, 165, 731, 532 is 834173340.
2. How to calculate the LCM of 247, 860, 165, 731, 532?
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, 860, 165, 731, 532.
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}.