LCM of 909, 171, 403, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 171, 403, 434 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, 171, 403, 434. So, keep reading to learn more.
Given numbers are 909,171,403,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,171,403,434 is 97442982.
Find LCM of 909,171,403,434 with Prime Factorization
| 3 | 909, 171, 403, 434 |
| 3 | 303, 57, 403, 434 |
| 31 | 101, 19, 403, 434 |
| 101, 19, 13, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 101 x 19 x 13 x 14 = 97442982
Therefore, the lowest common multiple of 909,171,403,434 is 97442982.
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 171 x 403 x 434 = 27186591978
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
171 : 1, 3, 9, 19, 57, 171
403 : 1, 13, 31, 403
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,171,403,434, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
171:3x 3x 19
403:13x 31
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 27186591978/(1x279)
LCM = 27186591978/279
LCM = 97442982
Thus, we can understand that the LCM of 909,171,403,434 is 97442982.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 171, 403, 434
1. What is the LCM of 909, 171, 403, 434?
Answer: LCM of 909, 171, 403, 434 is 97442982.
2. How to calculate the LCM of 909, 171, 403, 434?
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, 171, 403, 434.
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}.