LCM of 826, 767, 460, 741, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 767, 460, 741, 445 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 826, 767, 460, 741, 445. So, keep reading to learn more.
Given numbers are 826,767,460,741,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,767,460,741,445 is 12528991020.
Find LCM of 826,767,460,741,445 with Prime Factorization
| 2 | 826, 767, 460, 741, 445 |
| 5 | 413, 767, 230, 741, 445 |
| 13 | 413, 767, 46, 741, 89 |
| 59 | 413, 59, 46, 57, 89 |
| 7, 1, 46, 57, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 59 x 7 x 1 x 46 x 57 x 89 = 12528991020
Therefore, the lowest common multiple of 826,767,460,741,445 is 12528991020.
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.
826 x 767 x 460 x 741 x 445 = 96097361123400
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
767 : 1, 13, 59, 767
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
741 : 1, 3, 13, 19, 39, 57, 247, 741
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,767,460,741,445, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
767:13x 59
460:2x 2x 5x 23
741:3x 13x 19
445:5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 59 = 7670
Therefore, the value for common factors is 7670.
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 = 96097361123400/(1x7670)
LCM = 96097361123400/7670
LCM = 12528991020
Thus, we can understand that the LCM of 826,767,460,741,445 is 12528991020.
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FAQs on LCM of 826, 767, 460, 741, 445
1. What is the LCM of 826, 767, 460, 741, 445?
Answer: LCM of 826, 767, 460, 741, 445 is 12528991020.
2. How to calculate the LCM of 826, 767, 460, 741, 445?
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 826, 767, 460, 741, 445.
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}.