LCM of 379, 526, 405, 870, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 526, 405, 870, 648 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 379, 526, 405, 870, 648. So, keep reading to learn more.
Given numbers are 379,526,405,870,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,526,405,870,648 is 9365650920.
Find LCM of 379,526,405,870,648 with Prime Factorization
| 2 | 379, 526, 405, 870, 648 |
| 3 | 379, 263, 405, 435, 324 |
| 3 | 379, 263, 135, 145, 108 |
| 3 | 379, 263, 45, 145, 36 |
| 3 | 379, 263, 15, 145, 12 |
| 5 | 379, 263, 5, 145, 4 |
| 379, 263, 1, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 379 x 263 x 1 x 29 x 4 = 9365650920
Therefore, the lowest common multiple of 379,526,405,870,648 is 9365650920.
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.
379 x 526 x 405 x 870 x 648 = 45517063471200
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.
379 : 1, 379
526 : 1, 2, 263, 526
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,526,405,870,648, is 1.
Now, the common factors can be found like this.
379:379
526:2x 263
405:3x 3x 3x 3x 5
870:2x 3x 5x 29
648:2x 2x 2x 3x 3x 3x 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 3x 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 45517063471200/(1x4860)
LCM = 45517063471200/4860
LCM = 9365650920
Thus, we can understand that the LCM of 379,526,405,870,648 is 9365650920.
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FAQs on LCM of 379, 526, 405, 870, 648
1. What is the LCM of 379, 526, 405, 870, 648?
Answer: LCM of 379, 526, 405, 870, 648 is 9365650920.
2. How to calculate the LCM of 379, 526, 405, 870, 648?
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 379, 526, 405, 870, 648.
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}.