LCM of 393, 486, 722, 666, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 486, 722, 666, 840 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 393, 486, 722, 666, 840. So, keep reading to learn more.
Given numbers are 393,486,722,666,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,486,722,666,840 is 119054146680.
Find LCM of 393,486,722,666,840 with Prime Factorization
| 2 | 393, 486, 722, 666, 840 |
| 3 | 393, 243, 361, 333, 420 |
| 3 | 131, 81, 361, 111, 140 |
| 131, 27, 361, 37, 140 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 131 x 27 x 361 x 37 x 140 = 119054146680
Therefore, the lowest common multiple of 393,486,722,666,840 is 119054146680.
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.
393 x 486 x 722 x 666 x 840 = 77147087048640
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.
393 : 1, 3, 131, 393
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
722 : 1, 2, 19, 38, 361, 722
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,486,722,666,840, is 1.
Now, the common factors can be found like this.
393:3x 131
486:2x 3x 3x 3x 3x 3
722:2x 19x 19
666:2x 3x 3x 37
840:2x 2x 2x 3x 5x 7
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 77147087048640/(1x648)
LCM = 77147087048640/648
LCM = 119054146680
Thus, we can understand that the LCM of 393,486,722,666,840 is 119054146680.
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FAQs on LCM of 393, 486, 722, 666, 840
1. What is the LCM of 393, 486, 722, 666, 840?
Answer: LCM of 393, 486, 722, 666, 840 is 119054146680.
2. How to calculate the LCM of 393, 486, 722, 666, 840?
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 393, 486, 722, 666, 840.
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}.