LCM of 118, 642, 524, 531, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 642, 524, 531, 428 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 118, 642, 524, 531, 428. So, keep reading to learn more.
Given numbers are 118,642,524,531,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,642,524,531,428 is 29772108.
Find LCM of 118,642,524,531,428 with Prime Factorization
| 2 | 118, 642, 524, 531, 428 |
| 2 | 59, 321, 262, 531, 214 |
| 3 | 59, 321, 131, 531, 107 |
| 59 | 59, 107, 131, 177, 107 |
| 107 | 1, 107, 131, 3, 107 |
| 1, 1, 131, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 107 x 1 x 1 x 131 x 3 x 1 = 29772108
Therefore, the lowest common multiple of 118,642,524,531,428 is 29772108.
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.
118 x 642 x 524 x 531 x 428 = 9021663254592
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.
118 : 1, 2, 59, 118
642 : 1, 2, 3, 6, 107, 214, 321, 642
524 : 1, 2, 4, 131, 262, 524
531 : 1, 3, 9, 59, 177, 531
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,642,524,531,428, is 1.
Now, the common factors can be found like this.
118:2x 59
642:2x 3x 107
524:2x 2x 131
531:3x 3x 59
428:2x 2x 107
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 3x 59x 107 = 303024
Therefore, the value for common factors is 303024.
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 = 9021663254592/(1x303024)
LCM = 9021663254592/303024
LCM = 29772108
Thus, we can understand that the LCM of 118,642,524,531,428 is 29772108.
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FAQs on LCM of 118, 642, 524, 531, 428
1. What is the LCM of 118, 642, 524, 531, 428?
Answer: LCM of 118, 642, 524, 531, 428 is 29772108.
2. How to calculate the LCM of 118, 642, 524, 531, 428?
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 118, 642, 524, 531, 428.
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}.