LCM of 445, 519, 702, 624, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 519, 702, 624, 285 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 445, 519, 702, 624, 285. So, keep reading to learn more.
Given numbers are 445,519,702,624,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,519,702,624,285 is 8214607440.
Find LCM of 445,519,702,624,285 with Prime Factorization
| 2 | 445, 519, 702, 624, 285 |
| 3 | 445, 519, 351, 312, 285 |
| 5 | 445, 173, 117, 104, 95 |
| 13 | 89, 173, 117, 104, 19 |
| 89, 173, 9, 8, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 89 x 173 x 9 x 8 x 19 = 8214607440
Therefore, the lowest common multiple of 445,519,702,624,285 is 8214607440.
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.
445 x 519 x 702 x 624 x 285 = 28833272114400
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.
445 : 1, 5, 89, 445
519 : 1, 3, 173, 519
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,519,702,624,285, is 1.
Now, the common factors can be found like this.
445:5x 89
519:3x 173
702:2x 3x 3x 3x 13
624:2x 2x 2x 2x 3x 13
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13 = 3510
Therefore, the value for common factors is 3510.
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 = 28833272114400/(1x3510)
LCM = 28833272114400/3510
LCM = 8214607440
Thus, we can understand that the LCM of 445,519,702,624,285 is 8214607440.
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FAQs on LCM of 445, 519, 702, 624, 285
1. What is the LCM of 445, 519, 702, 624, 285?
Answer: LCM of 445, 519, 702, 624, 285 is 8214607440.
2. How to calculate the LCM of 445, 519, 702, 624, 285?
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 445, 519, 702, 624, 285.
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}.