LCM of 368, 598, 608, 240, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 598, 608, 240, 949 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 368, 598, 608, 240, 949. So, keep reading to learn more.
Given numbers are 368,598,608,240,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,598,608,240,949 is 199062240.
Find LCM of 368,598,608,240,949 with Prime Factorization
| 2 | 368, 598, 608, 240, 949 |
| 2 | 184, 299, 304, 120, 949 |
| 2 | 92, 299, 152, 60, 949 |
| 2 | 46, 299, 76, 30, 949 |
| 13 | 23, 299, 38, 15, 949 |
| 23 | 23, 23, 38, 15, 73 |
| 1, 1, 38, 15, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 1 x 1 x 38 x 15 x 73 = 199062240
Therefore, the lowest common multiple of 368,598,608,240,949 is 199062240.
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.
368 x 598 x 608 x 240 x 949 = 30474040197120
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
598 : 1, 2, 13, 23, 26, 46, 299, 598
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,598,608,240,949, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
598:2x 13x 23
608:2x 2x 2x 2x 2x 19
240:2x 2x 2x 2x 3x 5
949:13x 73
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 2x 2x 2x 2x 13x 23 = 153088
Therefore, the value for common factors is 153088.
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 = 30474040197120/(1x153088)
LCM = 30474040197120/153088
LCM = 199062240
Thus, we can understand that the LCM of 368,598,608,240,949 is 199062240.
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FAQs on LCM of 368, 598, 608, 240, 949
1. What is the LCM of 368, 598, 608, 240, 949?
Answer: LCM of 368, 598, 608, 240, 949 is 199062240.
2. How to calculate the LCM of 368, 598, 608, 240, 949?
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 368, 598, 608, 240, 949.
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}.