LCM of 452, 448, 429, 267, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 448, 429, 267, 560 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 452, 448, 429, 267, 560. So, keep reading to learn more.
Given numbers are 452,448,429,267,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,448,429,267,560 is 9664374720.
Find LCM of 452,448,429,267,560 with Prime Factorization
| 2 | 452, 448, 429, 267, 560 |
| 2 | 226, 224, 429, 267, 280 |
| 2 | 113, 112, 429, 267, 140 |
| 2 | 113, 56, 429, 267, 70 |
| 3 | 113, 28, 429, 267, 35 |
| 7 | 113, 28, 143, 89, 35 |
| 113, 4, 143, 89, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 113 x 4 x 143 x 89 x 5 = 9664374720
Therefore, the lowest common multiple of 452,448,429,267,560 is 9664374720.
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.
452 x 448 x 429 x 267 x 560 = 12988919623680
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.
452 : 1, 2, 4, 113, 226, 452
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
429 : 1, 3, 11, 13, 33, 39, 143, 429
267 : 1, 3, 89, 267
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,448,429,267,560, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
448:2x 2x 2x 2x 2x 2x 7
429:3x 11x 13
267:3x 89
560:2x 2x 2x 2x 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.
2x 2x 2x 2x 2x 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 12988919623680/(1x1344)
LCM = 12988919623680/1344
LCM = 9664374720
Thus, we can understand that the LCM of 452,448,429,267,560 is 9664374720.
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FAQs on LCM of 452, 448, 429, 267, 560
1. What is the LCM of 452, 448, 429, 267, 560?
Answer: LCM of 452, 448, 429, 267, 560 is 9664374720.
2. How to calculate the LCM of 452, 448, 429, 267, 560?
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 452, 448, 429, 267, 560.
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}.