LCM of 452, 801, 419, 476, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 801, 419, 476, 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, 801, 419, 476, 560. So, keep reading to learn more.
Given numbers are 452,801,419,476,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,801,419,476,560 is 361045495440.
Find LCM of 452,801,419,476,560 with Prime Factorization
| 2 | 452, 801, 419, 476, 560 |
| 2 | 226, 801, 419, 238, 280 |
| 7 | 113, 801, 419, 119, 140 |
| 113, 801, 419, 17, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 113 x 801 x 419 x 17 x 20 = 361045495440
Therefore, the lowest common multiple of 452,801,419,476,560 is 361045495440.
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 801 x 419 x 476 x 560 = 40437095489280
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
801 : 1, 3, 9, 89, 267, 801
419 : 1, 419
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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 452,801,419,476,560, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
801:3x 3x 89
419:419
476:2x 2x 7x 17
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 7 = 112
Therefore, the value for common factors is 112.
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 = 40437095489280/(1x112)
LCM = 40437095489280/112
LCM = 361045495440
Thus, we can understand that the LCM of 452,801,419,476,560 is 361045495440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 452, 801, 419, 476, 560
1. What is the LCM of 452, 801, 419, 476, 560?
Answer: LCM of 452, 801, 419, 476, 560 is 361045495440.
2. How to calculate the LCM of 452, 801, 419, 476, 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, 801, 419, 476, 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}.