LCM of 382, 925, 160, 780, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 925, 160, 780, 741 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 382, 925, 160, 780, 741. So, keep reading to learn more.
Given numbers are 382,925,160,780,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,925,160,780,741 is 4189317600.
Find LCM of 382,925,160,780,741 with Prime Factorization
| 2 | 382, 925, 160, 780, 741 |
| 2 | 191, 925, 80, 390, 741 |
| 3 | 191, 925, 40, 195, 741 |
| 5 | 191, 925, 40, 65, 247 |
| 13 | 191, 185, 8, 13, 247 |
| 191, 185, 8, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 191 x 185 x 8 x 1 x 19 = 4189317600
Therefore, the lowest common multiple of 382,925,160,780,741 is 4189317600.
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.
382 x 925 x 160 x 780 x 741 = 32676677280000
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.
382 : 1, 2, 191, 382
925 : 1, 5, 25, 37, 185, 925
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,925,160,780,741, is 1.
Now, the common factors can be found like this.
382:2x 191
925:5x 5x 37
160:2x 2x 2x 2x 2x 5
780:2x 2x 3x 5x 13
741:3x 13x 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 2x 3x 5x 5x 13 = 7800
Therefore, the value for common factors is 7800.
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 = 32676677280000/(1x7800)
LCM = 32676677280000/7800
LCM = 4189317600
Thus, we can understand that the LCM of 382,925,160,780,741 is 4189317600.
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FAQs on LCM of 382, 925, 160, 780, 741
1. What is the LCM of 382, 925, 160, 780, 741?
Answer: LCM of 382, 925, 160, 780, 741 is 4189317600.
2. How to calculate the LCM of 382, 925, 160, 780, 741?
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 382, 925, 160, 780, 741.
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}.