LCM of 418, 361, 174, 154, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 361, 174, 154, 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 418, 361, 174, 154, 812. So, keep reading to learn more.
Given numbers are 418,361,174,154,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,361,174,154,812 is 9673356.
Find LCM of 418,361,174,154,812 with Prime Factorization
| 2 | 418, 361, 174, 154, 812 |
| 7 | 209, 361, 87, 77, 406 |
| 11 | 209, 361, 87, 11, 58 |
| 19 | 19, 361, 87, 1, 58 |
| 29 | 1, 19, 87, 1, 58 |
| 1, 19, 3, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 19 x 29 x 1 x 19 x 3 x 1 x 2 = 9673356
Therefore, the lowest common multiple of 418,361,174,154,812 is 9673356.
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.
418 x 361 x 174 x 154 x 812 = 3283291800096
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
361 : 1, 19, 361
174 : 1, 2, 3, 6, 29, 58, 87, 174
154 : 1, 2, 7, 11, 14, 22, 77, 154
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 418,361,174,154,812, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
361:19x 19
174:2x 3x 29
154:2x 7x 11
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 7x 11x 19x 29 = 339416
Therefore, the value for common factors is 339416.
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 = 3283291800096/(1x339416)
LCM = 3283291800096/339416
LCM = 9673356
Thus, we can understand that the LCM of 418,361,174,154,812 is 9673356.
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FAQs on LCM of 418, 361, 174, 154, 812
1. What is the LCM of 418, 361, 174, 154, 812?
Answer: LCM of 418, 361, 174, 154, 812 is 9673356.
2. How to calculate the LCM of 418, 361, 174, 154, 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 418, 361, 174, 154, 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}.