LCM of 287, 148, 996, 168, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 148, 996, 168, 370 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 287, 148, 996, 168, 370. So, keep reading to learn more.
Given numbers are 287,148,996,168,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,148,996,168,370 is 105765240.
Find LCM of 287,148,996,168,370 with Prime Factorization
| 2 | 287, 148, 996, 168, 370 |
| 2 | 287, 74, 498, 84, 185 |
| 3 | 287, 37, 249, 42, 185 |
| 7 | 287, 37, 83, 14, 185 |
| 37 | 41, 37, 83, 2, 185 |
| 41, 1, 83, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 41 x 1 x 83 x 2 x 5 = 105765240
Therefore, the lowest common multiple of 287,148,996,168,370 is 105765240.
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.
287 x 148 x 996 x 168 x 370 = 2629746927360
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.
287 : 1, 7, 41, 287
148 : 1, 2, 4, 37, 74, 148
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,148,996,168,370, is 1.
Now, the common factors can be found like this.
287:7x 41
148:2x 2x 37
996:2x 2x 3x 83
168:2x 2x 2x 3x 7
370:2x 5x 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 2x 2x 2x 3x 7x 37 = 24864
Therefore, the value for common factors is 24864.
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 = 2629746927360/(1x24864)
LCM = 2629746927360/24864
LCM = 105765240
Thus, we can understand that the LCM of 287,148,996,168,370 is 105765240.
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FAQs on LCM of 287, 148, 996, 168, 370
1. What is the LCM of 287, 148, 996, 168, 370?
Answer: LCM of 287, 148, 996, 168, 370 is 105765240.
2. How to calculate the LCM of 287, 148, 996, 168, 370?
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 287, 148, 996, 168, 370.
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}.