LCM of 605, 133, 490, 780, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 133, 490, 780, 480 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 605, 133, 490, 780, 480. So, keep reading to learn more.
Given numbers are 605,133,490,780,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,133,490,780,480 is 702942240.
Find LCM of 605,133,490,780,480 with Prime Factorization
| 2 | 605, 133, 490, 780, 480 |
| 2 | 605, 133, 245, 390, 240 |
| 3 | 605, 133, 245, 195, 120 |
| 5 | 605, 133, 245, 65, 40 |
| 7 | 121, 133, 49, 13, 8 |
| 121, 19, 7, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 121 x 19 x 7 x 13 x 8 = 702942240
Therefore, the lowest common multiple of 605,133,490,780,480 is 702942240.
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.
605 x 133 x 490 x 780 x 480 = 14761787040000
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.
605 : 1, 5, 11, 55, 121, 605
133 : 1, 7, 19, 133
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,133,490,780,480, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
133:7x 19
490:2x 5x 7x 7
780:2x 2x 3x 5x 13
480:2x 2x 2x 2x 2x 3x 5
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 5x 7 = 21000
Therefore, the value for common factors is 21000.
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 = 14761787040000/(1x21000)
LCM = 14761787040000/21000
LCM = 702942240
Thus, we can understand that the LCM of 605,133,490,780,480 is 702942240.
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FAQs on LCM of 605, 133, 490, 780, 480
1. What is the LCM of 605, 133, 490, 780, 480?
Answer: LCM of 605, 133, 490, 780, 480 is 702942240.
2. How to calculate the LCM of 605, 133, 490, 780, 480?
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 605, 133, 490, 780, 480.
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}.