LCM of 104, 417, 360, 516, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 417, 360, 516, 594 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 104, 417, 360, 516, 594. So, keep reading to learn more.
Given numbers are 104,417,360,516,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,417,360,516,594 is 923087880.
Find LCM of 104,417,360,516,594 with Prime Factorization
| 2 | 104, 417, 360, 516, 594 |
| 2 | 52, 417, 180, 258, 297 |
| 2 | 26, 417, 90, 129, 297 |
| 3 | 13, 417, 45, 129, 297 |
| 3 | 13, 139, 15, 43, 99 |
| 13, 139, 5, 43, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 139 x 5 x 43 x 33 = 923087880
Therefore, the lowest common multiple of 104,417,360,516,594 is 923087880.
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.
104 x 417 x 360 x 516 x 594 = 4785287569920
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
417 : 1, 3, 139, 417
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,417,360,516,594, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
417:3x 139
360:2x 2x 2x 3x 3x 5
516:2x 2x 3x 43
594:2x 3x 3x 3x 11
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 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 4785287569920/(1x5184)
LCM = 4785287569920/5184
LCM = 923087880
Thus, we can understand that the LCM of 104,417,360,516,594 is 923087880.
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FAQs on LCM of 104, 417, 360, 516, 594
1. What is the LCM of 104, 417, 360, 516, 594?
Answer: LCM of 104, 417, 360, 516, 594 is 923087880.
2. How to calculate the LCM of 104, 417, 360, 516, 594?
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 104, 417, 360, 516, 594.
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}.