LCM of 524, 391, 286, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 391, 286, 468 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 524, 391, 286, 468. So, keep reading to learn more.
Given numbers are 524,391,286,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,391,286,468 is 263685708.
Find LCM of 524,391,286,468 with Prime Factorization
| 2 | 524, 391, 286, 468 |
| 2 | 262, 391, 143, 234 |
| 13 | 131, 391, 143, 117 |
| 131, 391, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 131 x 391 x 11 x 9 = 263685708
Therefore, the lowest common multiple of 524,391,286,468 is 263685708.
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.
524 x 391 x 286 x 468 = 27423313632
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.
524 : 1, 2, 4, 131, 262, 524
391 : 1, 17, 23, 391
286 : 1, 2, 11, 13, 22, 26, 143, 286
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,391,286,468, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
391:17x 23
286:2x 11x 13
468:2x 2x 3x 3x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 27423313632/(1x104)
LCM = 27423313632/104
LCM = 263685708
Thus, we can understand that the LCM of 524,391,286,468 is 263685708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 391, 286, 468
1. What is the LCM of 524, 391, 286, 468?
Answer: LCM of 524, 391, 286, 468 is 263685708.
2. How to calculate the LCM of 524, 391, 286, 468?
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 524, 391, 286, 468.
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}.