LCM of 618, 974, 120, 405, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 974, 120, 405, 468 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 618, 974, 120, 405, 468. So, keep reading to learn more.
Given numbers are 618,974,120,405,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,974,120,405,468 is 2112781320.
Find LCM of 618,974,120,405,468 with Prime Factorization
| 2 | 618, 974, 120, 405, 468 |
| 2 | 309, 487, 60, 405, 234 |
| 3 | 309, 487, 30, 405, 117 |
| 3 | 103, 487, 10, 135, 39 |
| 5 | 103, 487, 10, 45, 13 |
| 103, 487, 2, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 103 x 487 x 2 x 9 x 13 = 2112781320
Therefore, the lowest common multiple of 618,974,120,405,468 is 2112781320.
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.
618 x 974 x 120 x 405 x 468 = 13690822953600
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
974 : 1, 2, 487, 974
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,974,120,405,468, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
974:2x 487
120:2x 2x 2x 3x 5
405:3x 3x 3x 3x 5
468:2x 2x 3x 3x 13
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 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 13690822953600/(1x6480)
LCM = 13690822953600/6480
LCM = 2112781320
Thus, we can understand that the LCM of 618,974,120,405,468 is 2112781320.
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FAQs on LCM of 618, 974, 120, 405, 468
1. What is the LCM of 618, 974, 120, 405, 468?
Answer: LCM of 618, 974, 120, 405, 468 is 2112781320.
2. How to calculate the LCM of 618, 974, 120, 405, 468?
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 618, 974, 120, 405, 468.
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}.