LCM of 589, 484, 121, 760, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 484, 121, 760, 416 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 589, 484, 121, 760, 416. So, keep reading to learn more.
Given numbers are 589,484,121,760,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,484,121,760,416 is 148239520.
Find LCM of 589,484,121,760,416 with Prime Factorization
| 2 | 589, 484, 121, 760, 416 |
| 2 | 589, 242, 121, 380, 208 |
| 2 | 589, 121, 121, 190, 104 |
| 11 | 589, 121, 121, 95, 52 |
| 11 | 589, 11, 11, 95, 52 |
| 19 | 589, 1, 1, 95, 52 |
| 31, 1, 1, 5, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 19 x 31 x 1 x 1 x 5 x 52 = 148239520
Therefore, the lowest common multiple of 589,484,121,760,416 is 148239520.
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.
589 x 484 x 121 x 760 x 416 = 10905685007360
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.
589 : 1, 19, 31, 589
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
121 : 1, 11, 121
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,484,121,760,416, is 1.
Now, the common factors can be found like this.
589:19x 31
484:2x 2x 11x 11
121:11x 11
760:2x 2x 2x 5x 19
416:2x 2x 2x 2x 2x 13
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 11x 11x 19 = 73568
Therefore, the value for common factors is 73568.
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 = 10905685007360/(1x73568)
LCM = 10905685007360/73568
LCM = 148239520
Thus, we can understand that the LCM of 589,484,121,760,416 is 148239520.
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FAQs on LCM of 589, 484, 121, 760, 416
1. What is the LCM of 589, 484, 121, 760, 416?
Answer: LCM of 589, 484, 121, 760, 416 is 148239520.
2. How to calculate the LCM of 589, 484, 121, 760, 416?
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 589, 484, 121, 760, 416.
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}.