LCM of 524, 454, 420, 693, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 454, 420, 693, 575 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 524, 454, 420, 693, 575. So, keep reading to learn more.
Given numbers are 524,454,420,693,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,454,420,693,575 is 47397804300.
Find LCM of 524,454,420,693,575 with Prime Factorization
| 2 | 524, 454, 420, 693, 575 |
| 2 | 262, 227, 210, 693, 575 |
| 3 | 131, 227, 105, 693, 575 |
| 5 | 131, 227, 35, 231, 575 |
| 7 | 131, 227, 7, 231, 115 |
| 131, 227, 1, 33, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 131 x 227 x 1 x 33 x 115 = 47397804300
Therefore, the lowest common multiple of 524,454,420,693,575 is 47397804300.
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.
524 x 454 x 420 x 693 x 575 = 39814155612000
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.
524 : 1, 2, 4, 131, 262, 524
454 : 1, 2, 227, 454
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,454,420,693,575, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
454:2x 227
420:2x 2x 3x 5x 7
693:3x 3x 7x 11
575:5x 5x 23
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 39814155612000/(1x840)
LCM = 39814155612000/840
LCM = 47397804300
Thus, we can understand that the LCM of 524,454,420,693,575 is 47397804300.
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FAQs on LCM of 524, 454, 420, 693, 575
1. What is the LCM of 524, 454, 420, 693, 575?
Answer: LCM of 524, 454, 420, 693, 575 is 47397804300.
2. How to calculate the LCM of 524, 454, 420, 693, 575?
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 524, 454, 420, 693, 575.
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}.