LCM of 426, 145, 418, 822, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 145, 418, 822, 150 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 426, 145, 418, 822, 150. So, keep reading to learn more.
Given numbers are 426,145,418,822,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,145,418,822,150 is 8843302050.
Find LCM of 426,145,418,822,150 with Prime Factorization
| 2 | 426, 145, 418, 822, 150 |
| 3 | 213, 145, 209, 411, 75 |
| 5 | 71, 145, 209, 137, 25 |
| 71, 29, 209, 137, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 29 x 209 x 137 x 5 = 8843302050
Therefore, the lowest common multiple of 426,145,418,822,150 is 8843302050.
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.
426 x 145 x 418 x 822 x 150 = 3183588738000
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
145 : 1, 5, 29, 145
418 : 1, 2, 11, 19, 22, 38, 209, 418
822 : 1, 2, 3, 6, 137, 274, 411, 822
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,145,418,822,150, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
145:5x 29
418:2x 11x 19
822:2x 3x 137
150:2x 3x 5x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 3183588738000/(1x360)
LCM = 3183588738000/360
LCM = 8843302050
Thus, we can understand that the LCM of 426,145,418,822,150 is 8843302050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 145, 418, 822, 150
1. What is the LCM of 426, 145, 418, 822, 150?
Answer: LCM of 426, 145, 418, 822, 150 is 8843302050.
2. How to calculate the LCM of 426, 145, 418, 822, 150?
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 426, 145, 418, 822, 150.
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}.