LCM of 292, 642, 984, 731, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 642, 984, 731, 405 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 292, 642, 984, 731, 405. So, keep reading to learn more.
Given numbers are 292,642,984,731,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,642,984,731,405 is 758495278440.
Find LCM of 292,642,984,731,405 with Prime Factorization
| 2 | 292, 642, 984, 731, 405 |
| 2 | 146, 321, 492, 731, 405 |
| 3 | 73, 321, 246, 731, 405 |
| 73, 107, 82, 731, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 107 x 82 x 731 x 135 = 758495278440
Therefore, the lowest common multiple of 292,642,984,731,405 is 758495278440.
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.
292 x 642 x 984 x 731 x 405 = 54611660047680
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.
292 : 1, 2, 4, 73, 146, 292
642 : 1, 2, 3, 6, 107, 214, 321, 642
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
731 : 1, 17, 43, 731
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,642,984,731,405, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
642:2x 3x 107
984:2x 2x 2x 3x 41
731:17x 43
405:3x 3x 3x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 54611660047680/(1x72)
LCM = 54611660047680/72
LCM = 758495278440
Thus, we can understand that the LCM of 292,642,984,731,405 is 758495278440.
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FAQs on LCM of 292, 642, 984, 731, 405
1. What is the LCM of 292, 642, 984, 731, 405?
Answer: LCM of 292, 642, 984, 731, 405 is 758495278440.
2. How to calculate the LCM of 292, 642, 984, 731, 405?
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 292, 642, 984, 731, 405.
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}.