LCM of 493, 289, 390, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 289, 390, 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 493, 289, 390, 949. So, keep reading to learn more.
Given numbers are 493,289,390,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,289,390,949 is 238607070.
Find LCM of 493,289,390,949 with Prime Factorization
| 13 | 493, 289, 390, 949 |
| 17 | 493, 289, 30, 73 |
| 29, 17, 30, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 29 x 17 x 30 x 73 = 238607070
Therefore, the lowest common multiple of 493,289,390,949 is 238607070.
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.
493 x 289 x 390 x 949 = 52732162470
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.
493 : 1, 17, 29, 493
289 : 1, 17, 289
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,289,390,949, is 1.
Now, the common factors can be found like this.
493:17x 29
289:17x 17
390:2x 3x 5x 13
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.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 52732162470/(1x221)
LCM = 52732162470/221
LCM = 238607070
Thus, we can understand that the LCM of 493,289,390,949 is 238607070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 289, 390, 949
1. What is the LCM of 493, 289, 390, 949?
Answer: LCM of 493, 289, 390, 949 is 238607070.
2. How to calculate the LCM of 493, 289, 390, 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 493, 289, 390, 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}.