LCM of 525, 764, 280, 501, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 764, 280, 501, 561 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, 764, 280, 501, 561. So, keep reading to learn more.
Given numbers are 525,764,280,501,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,764,280,501,561 is 25051903800.
Find LCM of 525,764,280,501,561 with Prime Factorization
| 2 | 525, 764, 280, 501, 561 |
| 2 | 525, 382, 140, 501, 561 |
| 3 | 525, 191, 70, 501, 561 |
| 5 | 175, 191, 70, 167, 187 |
| 7 | 35, 191, 14, 167, 187 |
| 5, 191, 2, 167, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 5 x 191 x 2 x 167 x 187 = 25051903800
Therefore, the lowest common multiple of 525,764,280,501,561 is 25051903800.
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 764 x 280 x 501 x 561 = 31565398788000
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
764 : 1, 2, 4, 191, 382, 764
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
501 : 1, 3, 167, 501
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,764,280,501,561, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
764:2x 2x 191
280:2x 2x 2x 5x 7
501:3x 167
561:3x 11x 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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 31565398788000/(1x1260)
LCM = 31565398788000/1260
LCM = 25051903800
Thus, we can understand that the LCM of 525,764,280,501,561 is 25051903800.
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FAQs on LCM of 525, 764, 280, 501, 561
1. What is the LCM of 525, 764, 280, 501, 561?
Answer: LCM of 525, 764, 280, 501, 561 is 25051903800.
2. How to calculate the LCM of 525, 764, 280, 501, 561?
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, 764, 280, 501, 561.
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}.