LCM of 253, 120, 583, 516, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 120, 583, 516, 327 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 253, 120, 583, 516, 327. So, keep reading to learn more.
Given numbers are 253,120,583,516,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,120,583,516,327 is 7541757960.
Find LCM of 253,120,583,516,327 with Prime Factorization
| 2 | 253, 120, 583, 516, 327 |
| 2 | 253, 60, 583, 258, 327 |
| 3 | 253, 30, 583, 129, 327 |
| 11 | 253, 10, 583, 43, 109 |
| 23, 10, 53, 43, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 10 x 53 x 43 x 109 = 7541757960
Therefore, the lowest common multiple of 253,120,583,516,327 is 7541757960.
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.
253 x 120 x 583 x 516 x 327 = 2986536152160
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.
253 : 1, 11, 23, 253
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
583 : 1, 11, 53, 583
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,120,583,516,327, is 1.
Now, the common factors can be found like this.
253:11x 23
120:2x 2x 2x 3x 5
583:11x 53
516:2x 2x 3x 43
327:3x 109
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 11 = 396
Therefore, the value for common factors is 396.
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 = 2986536152160/(1x396)
LCM = 2986536152160/396
LCM = 7541757960
Thus, we can understand that the LCM of 253,120,583,516,327 is 7541757960.
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FAQs on LCM of 253, 120, 583, 516, 327
1. What is the LCM of 253, 120, 583, 516, 327?
Answer: LCM of 253, 120, 583, 516, 327 is 7541757960.
2. How to calculate the LCM of 253, 120, 583, 516, 327?
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 253, 120, 583, 516, 327.
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}.