LCM of 909, 626, 423, 438, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 626, 423, 438, 231 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 909, 626, 423, 438, 231. So, keep reading to learn more.
Given numbers are 909,626,423,438,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,626,423,438,231 is 150331385358.
Find LCM of 909,626,423,438,231 with Prime Factorization
| 2 | 909, 626, 423, 438, 231 |
| 3 | 909, 313, 423, 219, 231 |
| 3 | 303, 313, 141, 73, 77 |
| 101, 313, 47, 73, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 313 x 47 x 73 x 77 = 150331385358
Therefore, the lowest common multiple of 909,626,423,438,231 is 150331385358.
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.
909 x 626 x 423 x 438 x 231 = 24353684427996
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.
909 : 1, 3, 9, 101, 303, 909
626 : 1, 2, 313, 626
423 : 1, 3, 9, 47, 141, 423
438 : 1, 2, 3, 6, 73, 146, 219, 438
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,626,423,438,231, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
626:2x 313
423:3x 3x 47
438:2x 3x 73
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 24353684427996/(1x162)
LCM = 24353684427996/162
LCM = 150331385358
Thus, we can understand that the LCM of 909,626,423,438,231 is 150331385358.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 626, 423, 438, 231
1. What is the LCM of 909, 626, 423, 438, 231?
Answer: LCM of 909, 626, 423, 438, 231 is 150331385358.
2. How to calculate the LCM of 909, 626, 423, 438, 231?
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 909, 626, 423, 438, 231.
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}.