LCM of 984, 315, 464, 941, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 315, 464, 941, 609 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 984, 315, 464, 941, 609. So, keep reading to learn more.
Given numbers are 984,315,464,941,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,315,464,941,609 is 5638998960.
Find LCM of 984,315,464,941,609 with Prime Factorization
| 2 | 984, 315, 464, 941, 609 |
| 2 | 492, 315, 232, 941, 609 |
| 2 | 246, 315, 116, 941, 609 |
| 3 | 123, 315, 58, 941, 609 |
| 7 | 41, 105, 58, 941, 203 |
| 29 | 41, 15, 58, 941, 29 |
| 41, 15, 2, 941, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 41 x 15 x 2 x 941 x 1 = 5638998960
Therefore, the lowest common multiple of 984,315,464,941,609 is 5638998960.
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.
984 x 315 x 464 x 941 x 609 = 82419608799360
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
941 : 1, 941
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,315,464,941,609, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
315:3x 3x 5x 7
464:2x 2x 2x 2x 29
941:941
609:3x 7x 29
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 3x 7x 29 = 14616
Therefore, the value for common factors is 14616.
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 = 82419608799360/(1x14616)
LCM = 82419608799360/14616
LCM = 5638998960
Thus, we can understand that the LCM of 984,315,464,941,609 is 5638998960.
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FAQs on LCM of 984, 315, 464, 941, 609
1. What is the LCM of 984, 315, 464, 941, 609?
Answer: LCM of 984, 315, 464, 941, 609 is 5638998960.
2. How to calculate the LCM of 984, 315, 464, 941, 609?
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 984, 315, 464, 941, 609.
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}.