LCM of 513, 377, 532, 567, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 377, 532, 567, 525 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 513, 377, 532, 567, 525. So, keep reading to learn more.
Given numbers are 513,377,532,567,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,377,532,567,525 is 406142100.
Find LCM of 513,377,532,567,525 with Prime Factorization
| 3 | 513, 377, 532, 567, 525 |
| 3 | 171, 377, 532, 189, 175 |
| 3 | 57, 377, 532, 63, 175 |
| 7 | 19, 377, 532, 21, 175 |
| 19 | 19, 377, 76, 3, 25 |
| 1, 377, 4, 3, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 19 x 1 x 377 x 4 x 3 x 25 = 406142100
Therefore, the lowest common multiple of 513,377,532,567,525 is 406142100.
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.
513 x 377 x 532 x 567 x 525 = 30627581903100
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
377 : 1, 13, 29, 377
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,377,532,567,525, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
377:13x 29
532:2x 2x 7x 19
567:3x 3x 3x 3x 7
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7x 7x 19 = 75411
Therefore, the value for common factors is 75411.
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 = 30627581903100/(1x75411)
LCM = 30627581903100/75411
LCM = 406142100
Thus, we can understand that the LCM of 513,377,532,567,525 is 406142100.
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FAQs on LCM of 513, 377, 532, 567, 525
1. What is the LCM of 513, 377, 532, 567, 525?
Answer: LCM of 513, 377, 532, 567, 525 is 406142100.
2. How to calculate the LCM of 513, 377, 532, 567, 525?
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 513, 377, 532, 567, 525.
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}.