LCM of 744, 462, 687, 857, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 462, 687, 857, 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 744, 462, 687, 857, 840. So, keep reading to learn more.
Given numbers are 744,462,687,857,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,462,687,857,840 is 56214709320.
Find LCM of 744,462,687,857,840 with Prime Factorization
| 2 | 744, 462, 687, 857, 840 |
| 2 | 372, 231, 687, 857, 420 |
| 2 | 186, 231, 687, 857, 210 |
| 3 | 93, 231, 687, 857, 105 |
| 7 | 31, 77, 229, 857, 35 |
| 31, 11, 229, 857, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 31 x 11 x 229 x 857 x 5 = 56214709320
Therefore, the lowest common multiple of 744,462,687,857,840 is 56214709320.
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.
744 x 462 x 687 x 857 x 840 = 169993280983680
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
687 : 1, 3, 229, 687
857 : 1, 857
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 744,462,687,857,840, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
462:2x 3x 7x 11
687:3x 229
857:857
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 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 169993280983680/(1x3024)
LCM = 169993280983680/3024
LCM = 56214709320
Thus, we can understand that the LCM of 744,462,687,857,840 is 56214709320.
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FAQs on LCM of 744, 462, 687, 857, 840
1. What is the LCM of 744, 462, 687, 857, 840?
Answer: LCM of 744, 462, 687, 857, 840 is 56214709320.
2. How to calculate the LCM of 744, 462, 687, 857, 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 744, 462, 687, 857, 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}.