LCM of 418, 475, 840, 361, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 475, 840, 361, 380 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, 475, 840, 361, 380. So, keep reading to learn more.
Given numbers are 418,475,840,361,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,475,840,361,380 is 16678200.
Find LCM of 418,475,840,361,380 with Prime Factorization
| 2 | 418, 475, 840, 361, 380 |
| 2 | 209, 475, 420, 361, 190 |
| 5 | 209, 475, 210, 361, 95 |
| 19 | 209, 19, 42, 361, 95 |
| 11, 1, 42, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 11 x 1 x 42 x 19 x 5 = 16678200
Therefore, the lowest common multiple of 418,475,840,361,380 is 16678200.
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 475 x 840 x 361 x 380 = 22879154760000
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
475 : 1, 5, 19, 25, 95, 475
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
361 : 1, 19, 361
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,475,840,361,380, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
475:5x 5x 19
840:2x 2x 2x 3x 5x 7
361:19x 19
380:2x 2x 5x 19
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 5x 5x 19x 19x 19 = 1371800
Therefore, the value for common factors is 1371800.
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 = 22879154760000/(1x1371800)
LCM = 22879154760000/1371800
LCM = 16678200
Thus, we can understand that the LCM of 418,475,840,361,380 is 16678200.
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FAQs on LCM of 418, 475, 840, 361, 380
1. What is the LCM of 418, 475, 840, 361, 380?
Answer: LCM of 418, 475, 840, 361, 380 is 16678200.
2. How to calculate the LCM of 418, 475, 840, 361, 380?
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, 475, 840, 361, 380.
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}.