LCM of 315, 717, 144, 649, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 717, 144, 649, 188 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 315, 717, 144, 649, 188. So, keep reading to learn more.
Given numbers are 315,717,144,649,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,717,144,649,188 is 36742693680.
Find LCM of 315,717,144,649,188 with Prime Factorization
| 2 | 315, 717, 144, 649, 188 |
| 2 | 315, 717, 72, 649, 94 |
| 3 | 315, 717, 36, 649, 47 |
| 3 | 105, 239, 12, 649, 47 |
| 35, 239, 4, 649, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 35 x 239 x 4 x 649 x 47 = 36742693680
Therefore, the lowest common multiple of 315,717,144,649,188 is 36742693680.
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.
315 x 717 x 144 x 649 x 188 = 3968210917440
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
717 : 1, 3, 239, 717
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
649 : 1, 11, 59, 649
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,717,144,649,188, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
717:3x 239
144:2x 2x 2x 2x 3x 3
649:11x 59
188:2x 2x 47
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 3968210917440/(1x108)
LCM = 3968210917440/108
LCM = 36742693680
Thus, we can understand that the LCM of 315,717,144,649,188 is 36742693680.
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FAQs on LCM of 315, 717, 144, 649, 188
1. What is the LCM of 315, 717, 144, 649, 188?
Answer: LCM of 315, 717, 144, 649, 188 is 36742693680.
2. How to calculate the LCM of 315, 717, 144, 649, 188?
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 315, 717, 144, 649, 188.
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}.