Find the LCM of 137, 230, 247, 760, 586 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 137, 230, 247, 760, 586. So, keep reading to learn more.
Given numbers are 137,230,247,760,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,230,247,760,586 is 9121640840.
Find LCM of 137,230,247,760,586 with Prime Factorization
2 | 137, 230, 247, 760, 586 |
5 | 137, 115, 247, 380, 293 |
19 | 137, 23, 247, 76, 293 |
137, 23, 13, 4, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 137 x 23 x 13 x 4 x 293 = 9121640840
Therefore, the lowest common multiple of 137,230,247,760,586 is 9121640840.
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.
137 x 230 x 247 x 760 x 586 = 3466223519200
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.
137 : 1, 137
230 : 1, 2, 5, 10, 23, 46, 115, 230
247 : 1, 13, 19, 247
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,230,247,760,586, is 1.
Now, the common factors can be found like this.
137:137
230:2x 5x 23
247:13x 19
760:2x 2x 2x 5x 19
586:2x 293
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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 3466223519200/(1x380)
LCM = 3466223519200/380
LCM = 9121640840
Thus, we can understand that the LCM of 137,230,247,760,586 is 9121640840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 230, 247, 760, 586?
Answer: LCM of 137, 230, 247, 760, 586 is 9121640840.
2. How to calculate the LCM of 137, 230, 247, 760, 586?
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 137, 230, 247, 760, 586.
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}.