LCM of 525, 529, 442, 182, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 529, 442, 182, 649 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 525, 529, 442, 182, 649. So, keep reading to learn more.
Given numbers are 525,529,442,182,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,529,442,182,649 is 79667638050.
Find LCM of 525,529,442,182,649 with Prime Factorization
| 2 | 525, 529, 442, 182, 649 |
| 7 | 525, 529, 221, 91, 649 |
| 13 | 75, 529, 221, 13, 649 |
| 75, 529, 17, 1, 649 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 75 x 529 x 17 x 1 x 649 = 79667638050
Therefore, the lowest common multiple of 525,529,442,182,649 is 79667638050.
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.
525 x 529 x 442 x 182 x 649 = 14499510125100
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
529 : 1, 23, 529
442 : 1, 2, 13, 17, 26, 34, 221, 442
182 : 1, 2, 7, 13, 14, 26, 91, 182
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,529,442,182,649, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
529:23x 23
442:2x 13x 17
182:2x 7x 13
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 14499510125100/(1x182)
LCM = 14499510125100/182
LCM = 79667638050
Thus, we can understand that the LCM of 525,529,442,182,649 is 79667638050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 525, 529, 442, 182, 649
1. What is the LCM of 525, 529, 442, 182, 649?
Answer: LCM of 525, 529, 442, 182, 649 is 79667638050.
2. How to calculate the LCM of 525, 529, 442, 182, 649?
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 525, 529, 442, 182, 649.
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}.