LCM of 492, 232, 984, 803, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 232, 984, 803, 145 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 492, 232, 984, 803, 145. So, keep reading to learn more.
Given numbers are 492,232,984,803,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,232,984,803,145 is 114572040.
Find LCM of 492,232,984,803,145 with Prime Factorization
| 2 | 492, 232, 984, 803, 145 |
| 2 | 246, 116, 492, 803, 145 |
| 2 | 123, 58, 246, 803, 145 |
| 3 | 123, 29, 123, 803, 145 |
| 29 | 41, 29, 41, 803, 145 |
| 41 | 41, 1, 41, 803, 5 |
| 1, 1, 1, 803, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 41 x 1 x 1 x 1 x 803 x 5 = 114572040
Therefore, the lowest common multiple of 492,232,984,803,145 is 114572040.
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.
492 x 232 x 984 x 803 x 145 = 13077710933760
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
232 : 1, 2, 4, 8, 29, 58, 116, 232
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
803 : 1, 11, 73, 803
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,232,984,803,145, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
232:2x 2x 2x 29
984:2x 2x 2x 3x 41
803:11x 73
145:5x 29
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 2x 3x 29x 41 = 114144
Therefore, the value for common factors is 114144.
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 = 13077710933760/(1x114144)
LCM = 13077710933760/114144
LCM = 114572040
Thus, we can understand that the LCM of 492,232,984,803,145 is 114572040.
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FAQs on LCM of 492, 232, 984, 803, 145
1. What is the LCM of 492, 232, 984, 803, 145?
Answer: LCM of 492, 232, 984, 803, 145 is 114572040.
2. How to calculate the LCM of 492, 232, 984, 803, 145?
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 492, 232, 984, 803, 145.
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}.