LCM of 390, 546, 724, 866, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 546, 724, 866, 240 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, 546, 724, 866, 240. So, keep reading to learn more.
Given numbers are 390,546,724,866,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,546,724,866,240 is 1711666320.
Find LCM of 390,546,724,866,240 with Prime Factorization
| 2 | 390, 546, 724, 866, 240 |
| 2 | 195, 273, 362, 433, 120 |
| 3 | 195, 273, 181, 433, 60 |
| 5 | 65, 91, 181, 433, 20 |
| 13 | 13, 91, 181, 433, 4 |
| 1, 7, 181, 433, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 7 x 181 x 433 x 4 = 1711666320
Therefore, the lowest common multiple of 390,546,724,866,240 is 1711666320.
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 546 x 724 x 866 x 240 = 32042393510400
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
724 : 1, 2, 4, 181, 362, 724
866 : 1, 2, 433, 866
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,546,724,866,240, is 2.
Now, the common factors can be found like this.
390:2x 3x 5x 13
546:2x 3x 7x 13
724:2x 2x 181
866:2x 433
240:2x 2x 2x 2x 3x 5
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 5x 13 = 9360
Therefore, the value for common factors is 9360.
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 = 32042393510400/(2x9360)
LCM = 32042393510400/18720
LCM = 1711666320
Thus, we can understand that the LCM of 390,546,724,866,240 is 1711666320.
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FAQs on LCM of 390, 546, 724, 866, 240
1. What is the LCM of 390, 546, 724, 866, 240?
Answer: LCM of 390, 546, 724, 866, 240 is 1711666320.
2. How to calculate the LCM of 390, 546, 724, 866, 240?
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, 546, 724, 866, 240.
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}.