LCM of 293, 800, 142, 138, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 800, 142, 138, 812 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 293, 800, 142, 138, 812. So, keep reading to learn more.
Given numbers are 293,800,142,138,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,800,142,138,812 is 233110096800.
Find LCM of 293,800,142,138,812 with Prime Factorization
| 2 | 293, 800, 142, 138, 812 |
| 2 | 293, 400, 71, 69, 406 |
| 293, 200, 71, 69, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 293 x 200 x 71 x 69 x 203 = 233110096800
Therefore, the lowest common multiple of 293,800,142,138,812 is 233110096800.
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.
293 x 800 x 142 x 138 x 812 = 3729761548800
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.
293 : 1, 293
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
142 : 1, 2, 71, 142
138 : 1, 2, 3, 6, 23, 46, 69, 138
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,800,142,138,812, is 1.
Now, the common factors can be found like this.
293:293
800:2x 2x 2x 2x 2x 5x 5
142:2x 71
138:2x 3x 23
812:2x 2x 7x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 3729761548800/(1x16)
LCM = 3729761548800/16
LCM = 233110096800
Thus, we can understand that the LCM of 293,800,142,138,812 is 233110096800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 293, 800, 142, 138, 812
1. What is the LCM of 293, 800, 142, 138, 812?
Answer: LCM of 293, 800, 142, 138, 812 is 233110096800.
2. How to calculate the LCM of 293, 800, 142, 138, 812?
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 293, 800, 142, 138, 812.
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}.