LCM of 247, 400, 796, 875, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 400, 796, 875, 245 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 247, 400, 796, 875, 245. So, keep reading to learn more.
Given numbers are 247,400,796,875,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,400,796,875,245 is 4816994000.
Find LCM of 247,400,796,875,245 with Prime Factorization
| 2 | 247, 400, 796, 875, 245 |
| 2 | 247, 200, 398, 875, 245 |
| 5 | 247, 100, 199, 875, 245 |
| 5 | 247, 20, 199, 175, 49 |
| 7 | 247, 4, 199, 35, 49 |
| 247, 4, 199, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 7 x 247 x 4 x 199 x 5 x 7 = 4816994000
Therefore, the lowest common multiple of 247,400,796,875,245 is 4816994000.
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.
247 x 400 x 796 x 875 x 245 = 16859479000000
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.
247 : 1, 13, 19, 247
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
796 : 1, 2, 4, 199, 398, 796
875 : 1, 5, 7, 25, 35, 125, 175, 875
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,400,796,875,245, is 1.
Now, the common factors can be found like this.
247:13x 19
400:2x 2x 2x 2x 5x 5
796:2x 2x 199
875:5x 5x 5x 7
245:5x 7x 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 5x 5x 5x 7 = 3500
Therefore, the value for common factors is 3500.
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 = 16859479000000/(1x3500)
LCM = 16859479000000/3500
LCM = 4816994000
Thus, we can understand that the LCM of 247,400,796,875,245 is 4816994000.
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FAQs on LCM of 247, 400, 796, 875, 245
1. What is the LCM of 247, 400, 796, 875, 245?
Answer: LCM of 247, 400, 796, 875, 245 is 4816994000.
2. How to calculate the LCM of 247, 400, 796, 875, 245?
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 247, 400, 796, 875, 245.
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}.