LCM of 289, 703, 510, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 703, 510, 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 289, 703, 510, 148. So, keep reading to learn more.
Given numbers are 289,703,510,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,703,510,148 is 12190020.
Find LCM of 289,703,510,148 with Prime Factorization
| 2 | 289, 703, 510, 148 |
| 17 | 289, 703, 255, 74 |
| 37 | 17, 703, 15, 74 |
| 17, 19, 15, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 37 x 17 x 19 x 15 x 2 = 12190020
Therefore, the lowest common multiple of 289,703,510,148 is 12190020.
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.
289 x 703 x 510 x 148 = 15335045160
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.
289 : 1, 17, 289
703 : 1, 19, 37, 703
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 289,703,510,148, is 1.
Now, the common factors can be found like this.
289:17x 17
703:19x 37
510:2x 3x 5x 17
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 17x 37 = 1258
Therefore, the value for common factors is 1258.
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 = 15335045160/(1x1258)
LCM = 15335045160/1258
LCM = 12190020
Thus, we can understand that the LCM of 289,703,510,148 is 12190020.
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FAQs on LCM of 289, 703, 510, 148
1. What is the LCM of 289, 703, 510, 148?
Answer: LCM of 289, 703, 510, 148 is 12190020.
2. How to calculate the LCM of 289, 703, 510, 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 289, 703, 510, 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}.