LCM of 390, 963, 236, 660, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 963, 236, 660, 178 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 390, 963, 236, 660, 178. So, keep reading to learn more.
Given numbers are 390,963,236,660,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,963,236,660,178 is 14462199180.
Find LCM of 390,963,236,660,178 with Prime Factorization
| 2 | 390, 963, 236, 660, 178 |
| 2 | 195, 963, 118, 330, 89 |
| 3 | 195, 963, 59, 165, 89 |
| 5 | 65, 321, 59, 55, 89 |
| 13, 321, 59, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 321 x 59 x 11 x 89 = 14462199180
Therefore, the lowest common multiple of 390,963,236,660,178 is 14462199180.
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.
390 x 963 x 236 x 660 x 178 = 10412783409600
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
963 : 1, 3, 9, 107, 321, 963
236 : 1, 2, 4, 59, 118, 236
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,963,236,660,178, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
963:3x 3x 107
236:2x 2x 59
660:2x 2x 3x 5x 11
178:2x 89
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 10412783409600/(1x720)
LCM = 10412783409600/720
LCM = 14462199180
Thus, we can understand that the LCM of 390,963,236,660,178 is 14462199180.
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FAQs on LCM of 390, 963, 236, 660, 178
1. What is the LCM of 390, 963, 236, 660, 178?
Answer: LCM of 390, 963, 236, 660, 178 is 14462199180.
2. How to calculate the LCM of 390, 963, 236, 660, 178?
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 390, 963, 236, 660, 178.
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}.