LCM of 448, 286, 450, 527, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 286, 450, 527, 612 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 448, 286, 450, 527, 612. So, keep reading to learn more.
Given numbers are 448,286,450,527,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,286,450,527,612 is 7596388800.
Find LCM of 448,286,450,527,612 with Prime Factorization
| 2 | 448, 286, 450, 527, 612 |
| 2 | 224, 143, 225, 527, 306 |
| 3 | 112, 143, 225, 527, 153 |
| 3 | 112, 143, 75, 527, 51 |
| 17 | 112, 143, 25, 527, 17 |
| 112, 143, 25, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 112 x 143 x 25 x 31 x 1 = 7596388800
Therefore, the lowest common multiple of 448,286,450,527,612 is 7596388800.
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.
448 x 286 x 450 x 527 x 612 = 18595959782400
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
286 : 1, 2, 11, 13, 22, 26, 143, 286
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
527 : 1, 17, 31, 527
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,286,450,527,612, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
286:2x 11x 13
450:2x 3x 3x 5x 5
527:17x 31
612:2x 2x 3x 3x 17
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 17 = 2448
Therefore, the value for common factors is 2448.
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 = 18595959782400/(1x2448)
LCM = 18595959782400/2448
LCM = 7596388800
Thus, we can understand that the LCM of 448,286,450,527,612 is 7596388800.
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FAQs on LCM of 448, 286, 450, 527, 612
1. What is the LCM of 448, 286, 450, 527, 612?
Answer: LCM of 448, 286, 450, 527, 612 is 7596388800.
2. How to calculate the LCM of 448, 286, 450, 527, 612?
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 448, 286, 450, 527, 612.
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}.