LCM of 510, 542, 476, 952, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 542, 476, 952, 521 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 510, 542, 476, 952, 521. So, keep reading to learn more.
Given numbers are 510,542,476,952,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,542,476,952,521 is 2016207480.
Find LCM of 510,542,476,952,521 with Prime Factorization
| 2 | 510, 542, 476, 952, 521 |
| 2 | 255, 271, 238, 476, 521 |
| 7 | 255, 271, 119, 238, 521 |
| 17 | 255, 271, 17, 34, 521 |
| 15, 271, 1, 2, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 15 x 271 x 1 x 2 x 521 = 2016207480
Therefore, the lowest common multiple of 510,542,476,952,521 is 2016207480.
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.
510 x 542 x 476 x 952 x 521 = 65260603712640
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
542 : 1, 2, 271, 542
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,542,476,952,521, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
542:2x 271
476:2x 2x 7x 17
952:2x 2x 2x 7x 17
521:521
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 2x 7x 17x 17 = 32368
Therefore, the value for common factors is 32368.
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 = 65260603712640/(1x32368)
LCM = 65260603712640/32368
LCM = 2016207480
Thus, we can understand that the LCM of 510,542,476,952,521 is 2016207480.
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FAQs on LCM of 510, 542, 476, 952, 521
1. What is the LCM of 510, 542, 476, 952, 521?
Answer: LCM of 510, 542, 476, 952, 521 is 2016207480.
2. How to calculate the LCM of 510, 542, 476, 952, 521?
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 510, 542, 476, 952, 521.
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}.