LCM of 515, 420, 168, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 420, 168, 984 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 515, 420, 168, 984. So, keep reading to learn more.
Given numbers are 515,420,168,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,420,168,984 is 3547320.
Find LCM of 515,420,168,984 with Prime Factorization
| 2 | 515, 420, 168, 984 |
| 2 | 515, 210, 84, 492 |
| 2 | 515, 105, 42, 246 |
| 3 | 515, 105, 21, 123 |
| 5 | 515, 35, 7, 41 |
| 7 | 103, 7, 7, 41 |
| 103, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 103 x 1 x 1 x 41 = 3547320
Therefore, the lowest common multiple of 515,420,168,984 is 3547320.
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.
515 x 420 x 168 x 984 = 35756985600
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.
515 : 1, 5, 103, 515
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,420,168,984, is 1.
Now, the common factors can be found like this.
515:5x 103
420:2x 2x 3x 5x 7
168:2x 2x 2x 3x 7
984:2x 2x 2x 3x 41
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 3x 3x 5x 7 = 10080
Therefore, the value for common factors is 10080.
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 = 35756985600/(1x10080)
LCM = 35756985600/10080
LCM = 3547320
Thus, we can understand that the LCM of 515,420,168,984 is 3547320.
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FAQs on LCM of 515, 420, 168, 984
1. What is the LCM of 515, 420, 168, 984?
Answer: LCM of 515, 420, 168, 984 is 3547320.
2. How to calculate the LCM of 515, 420, 168, 984?
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 515, 420, 168, 984.
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}.