LCM of 456, 415, 103, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 415, 103, 486 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 456, 415, 103, 486. So, keep reading to learn more.
Given numbers are 456,415,103,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,415,103,486 is 1578829320.
Find LCM of 456,415,103,486 with Prime Factorization
| 2 | 456, 415, 103, 486 |
| 3 | 228, 415, 103, 243 |
| 76, 415, 103, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 76 x 415 x 103 x 81 = 1578829320
Therefore, the lowest common multiple of 456,415,103,486 is 1578829320.
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.
456 x 415 x 103 x 486 = 9472975920
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
415 : 1, 5, 83, 415
103 : 1, 103
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,415,103,486, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
415:5x 83
103:103
486:2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 9472975920/(1x6)
LCM = 9472975920/6
LCM = 1578829320
Thus, we can understand that the LCM of 456,415,103,486 is 1578829320.
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FAQs on LCM of 456, 415, 103, 486
1. What is the LCM of 456, 415, 103, 486?
Answer: LCM of 456, 415, 103, 486 is 1578829320.
2. How to calculate the LCM of 456, 415, 103, 486?
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 456, 415, 103, 486.
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}.