LCM of 151, 642, 124, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 642, 124, 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 151, 642, 124, 428. So, keep reading to learn more.
Given numbers are 151,642,124,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,642,124,428 is 6010404.
Find LCM of 151,642,124,428 with Prime Factorization
| 2 | 151, 642, 124, 428 |
| 2 | 151, 321, 62, 214 |
| 107 | 151, 321, 31, 107 |
| 151, 3, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 151 x 3 x 31 x 1 = 6010404
Therefore, the lowest common multiple of 151,642,124,428 is 6010404.
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.
151 x 642 x 124 x 428 = 5144905824
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.
151 : 1, 151
642 : 1, 2, 3, 6, 107, 214, 321, 642
124 : 1, 2, 4, 31, 62, 124
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 151,642,124,428, is 1.
Now, the common factors can be found like this.
151:151
642:2x 3x 107
124:2x 2x 31
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 107 = 856
Therefore, the value for common factors is 856.
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 = 5144905824/(1x856)
LCM = 5144905824/856
LCM = 6010404
Thus, we can understand that the LCM of 151,642,124,428 is 6010404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 642, 124, 428
1. What is the LCM of 151, 642, 124, 428?
Answer: LCM of 151, 642, 124, 428 is 6010404.
2. How to calculate the LCM of 151, 642, 124, 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 151, 642, 124, 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}.