LCM of 812, 786, 247, 228, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 786, 247, 228, 290 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 812, 786, 247, 228, 290. So, keep reading to learn more.
Given numbers are 812,786,247,228,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,786,247,228,290 is 394108260.
Find LCM of 812,786,247,228,290 with Prime Factorization
| 2 | 812, 786, 247, 228, 290 |
| 2 | 406, 393, 247, 114, 145 |
| 3 | 203, 393, 247, 57, 145 |
| 19 | 203, 131, 247, 19, 145 |
| 29 | 203, 131, 13, 1, 145 |
| 7, 131, 13, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 29 x 7 x 131 x 13 x 1 x 5 = 394108260
Therefore, the lowest common multiple of 812,786,247,228,290 is 394108260.
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.
812 x 786 x 247 x 228 x 290 = 10423375260480
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
786 : 1, 2, 3, 6, 131, 262, 393, 786
247 : 1, 13, 19, 247
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,786,247,228,290, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
786:2x 3x 131
247:13x 19
228:2x 2x 3x 19
290:2x 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 3x 19x 29 = 26448
Therefore, the value for common factors is 26448.
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 = 10423375260480/(1x26448)
LCM = 10423375260480/26448
LCM = 394108260
Thus, we can understand that the LCM of 812,786,247,228,290 is 394108260.
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FAQs on LCM of 812, 786, 247, 228, 290
1. What is the LCM of 812, 786, 247, 228, 290?
Answer: LCM of 812, 786, 247, 228, 290 is 394108260.
2. How to calculate the LCM of 812, 786, 247, 228, 290?
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 812, 786, 247, 228, 290.
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}.