LCM of 909, 294, 429, 303, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 294, 429, 303, 403 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, 294, 429, 303, 403. So, keep reading to learn more.
Given numbers are 909,294,429,303,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,294,429,303,403 is 394900506.
Find LCM of 909,294,429,303,403 with Prime Factorization
| 3 | 909, 294, 429, 303, 403 |
| 13 | 303, 98, 143, 101, 403 |
| 101 | 303, 98, 11, 101, 31 |
| 3, 98, 11, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 101 x 3 x 98 x 11 x 1 x 31 = 394900506
Therefore, the lowest common multiple of 909,294,429,303,403 is 394900506.
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 294 x 429 x 303 x 403 = 13999617838206
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
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
429 : 1, 3, 11, 13, 33, 39, 143, 429
303 : 1, 3, 101, 303
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,294,429,303,403, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
294:2x 3x 7x 7
429:3x 11x 13
303:3x 101
403:13x 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 3x 13x 101 = 35451
Therefore, the value for common factors is 35451.
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 = 13999617838206/(1x35451)
LCM = 13999617838206/35451
LCM = 394900506
Thus, we can understand that the LCM of 909,294,429,303,403 is 394900506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 294, 429, 303, 403
1. What is the LCM of 909, 294, 429, 303, 403?
Answer: LCM of 909, 294, 429, 303, 403 is 394900506.
2. How to calculate the LCM of 909, 294, 429, 303, 403?
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, 294, 429, 303, 403.
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}.