LCM of 918, 150, 214, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 150, 214, 431 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 918, 150, 214, 431. So, keep reading to learn more.
Given numbers are 918,150,214,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,150,214,431 is 1058385150.
Find LCM of 918,150,214,431 with Prime Factorization
| 2 | 918, 150, 214, 431 |
| 3 | 459, 75, 107, 431 |
| 153, 25, 107, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 153 x 25 x 107 x 431 = 1058385150
Therefore, the lowest common multiple of 918,150,214,431 is 1058385150.
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.
918 x 150 x 214 x 431 = 12700621800
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
214 : 1, 2, 107, 214
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,150,214,431, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
150:2x 3x 5x 5
214:2x 107
431:431
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 3 = 12
Therefore, the value for common factors is 12.
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 = 12700621800/(1x12)
LCM = 12700621800/12
LCM = 1058385150
Thus, we can understand that the LCM of 918,150,214,431 is 1058385150.
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FAQs on LCM of 918, 150, 214, 431
1. What is the LCM of 918, 150, 214, 431?
Answer: LCM of 918, 150, 214, 431 is 1058385150.
2. How to calculate the LCM of 918, 150, 214, 431?
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 918, 150, 214, 431.
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}.