LCM of 584, 360, 398, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 360, 398, 194 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 584, 360, 398, 194. So, keep reading to learn more.
Given numbers are 584,360,398,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,360,398,194 is 507282840.
Find LCM of 584,360,398,194 with Prime Factorization
| 2 | 584, 360, 398, 194 |
| 2 | 292, 180, 199, 97 |
| 2 | 146, 90, 199, 97 |
| 73, 45, 199, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 73 x 45 x 199 x 97 = 507282840
Therefore, the lowest common multiple of 584,360,398,194 is 507282840.
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.
584 x 360 x 398 x 194 = 16233050880
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
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
398 : 1, 2, 199, 398
194 : 1, 2, 97, 194
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,360,398,194, is 2.
Now, the common factors can be found like this.
584:2x 2x 2x 73
360:2x 2x 2x 3x 3x 5
398:2x 199
194:2x 97
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 2 = 16
Therefore, the value for common factors is 16.
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 = 16233050880/(2x16)
LCM = 16233050880/32
LCM = 507282840
Thus, we can understand that the LCM of 584,360,398,194 is 507282840.
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FAQs on LCM of 584, 360, 398, 194
1. What is the LCM of 584, 360, 398, 194?
Answer: LCM of 584, 360, 398, 194 is 507282840.
2. How to calculate the LCM of 584, 360, 398, 194?
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 584, 360, 398, 194.
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}.