LCM of 429, 781, 453, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 781, 453, 241 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 429, 781, 453, 241. So, keep reading to learn more.
Given numbers are 429,781,453,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,781,453,241 is 1108433469.
Find LCM of 429,781,453,241 with Prime Factorization
| 3 | 429, 781, 453, 241 |
| 11 | 143, 781, 151, 241 |
| 13, 71, 151, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 71 x 151 x 241 = 1108433469
Therefore, the lowest common multiple of 429,781,453,241 is 1108433469.
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.
429 x 781 x 453 x 241 = 36578304477
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
781 : 1, 11, 71, 781
453 : 1, 3, 151, 453
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,781,453,241, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
781:11x 71
453:3x 151
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 36578304477/(1x33)
LCM = 36578304477/33
LCM = 1108433469
Thus, we can understand that the LCM of 429,781,453,241 is 1108433469.
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FAQs on LCM of 429, 781, 453, 241
1. What is the LCM of 429, 781, 453, 241?
Answer: LCM of 429, 781, 453, 241 is 1108433469.
2. How to calculate the LCM of 429, 781, 453, 241?
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 429, 781, 453, 241.
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}.