LCM of 615, 465, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 465, 420 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 615, 465, 420. So, keep reading to learn more.
Given numbers are 615,465,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,465,420 is 533820.
Find LCM of 615,465,420 with Prime Factorization
| 3 | 615, 465, 420 |
| 5 | 205, 155, 140 |
| 41, 31, 28 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 31 x 28 = 533820
Therefore, the lowest common multiple of 615,465,420 is 533820.
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.
615 x 465 x 420 = 120109500
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
465 : 1, 3, 5, 15, 31, 93, 155, 465
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
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,465,420, is 15.
Now, the common factors can be found like this.
615:3x 5x 41
465:3x 5x 31
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 120109500/(15x15)
LCM = 120109500/225
LCM = 533820
Thus, we can understand that the LCM of 615,465,420 is 533820.
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FAQs on LCM of 615, 465, 420
1. What is the LCM of 615, 465, 420?
Answer: LCM of 615, 465, 420 is 533820.
2. How to calculate the LCM of 615, 465, 420?
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 615, 465, 420.
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}.