LCM of 501, 145, 963, 348, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 145, 963, 348, 148 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 501, 145, 963, 348, 148. So, keep reading to learn more.
Given numbers are 501,145,963,348,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,145,963,348,148 is 3451218660.
Find LCM of 501,145,963,348,148 with Prime Factorization
| 2 | 501, 145, 963, 348, 148 |
| 2 | 501, 145, 963, 174, 74 |
| 3 | 501, 145, 963, 87, 37 |
| 29 | 167, 145, 321, 29, 37 |
| 167, 5, 321, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 167 x 5 x 321 x 1 x 37 = 3451218660
Therefore, the lowest common multiple of 501,145,963,348,148 is 3451218660.
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.
501 x 145 x 963 x 348 x 148 = 3603072281040
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.
501 : 1, 3, 167, 501
145 : 1, 5, 29, 145
963 : 1, 3, 9, 107, 321, 963
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,145,963,348,148, is 1.
Now, the common factors can be found like this.
501:3x 167
145:5x 29
963:3x 3x 107
348:2x 2x 3x 29
148:2x 2x 37
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 29 = 1044
Therefore, the value for common factors is 1044.
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 = 3603072281040/(1x1044)
LCM = 3603072281040/1044
LCM = 3451218660
Thus, we can understand that the LCM of 501,145,963,348,148 is 3451218660.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 501, 145, 963, 348, 148
1. What is the LCM of 501, 145, 963, 348, 148?
Answer: LCM of 501, 145, 963, 348, 148 is 3451218660.
2. How to calculate the LCM of 501, 145, 963, 348, 148?
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 501, 145, 963, 348, 148.
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}.