LCM of 234, 429, 781, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 429, 781, 129 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 234, 429, 781, 129. So, keep reading to learn more.
Given numbers are 234,429,781,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,429,781,129 is 7858422.
Find LCM of 234,429,781,129 with Prime Factorization
| 3 | 234, 429, 781, 129 |
| 11 | 78, 143, 781, 43 |
| 13 | 78, 13, 71, 43 |
| 6, 1, 71, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 6 x 1 x 71 x 43 = 7858422
Therefore, the lowest common multiple of 234,429,781,129 is 7858422.
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.
234 x 429 x 781 x 129 = 10113789114
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
429 : 1, 3, 11, 13, 33, 39, 143, 429
781 : 1, 11, 71, 781
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,429,781,129, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
429:3x 11x 13
781:11x 71
129:3x 43
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 11x 13 = 1287
Therefore, the value for common factors is 1287.
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 = 10113789114/(1x1287)
LCM = 10113789114/1287
LCM = 7858422
Thus, we can understand that the LCM of 234,429,781,129 is 7858422.
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FAQs on LCM of 234, 429, 781, 129
1. What is the LCM of 234, 429, 781, 129?
Answer: LCM of 234, 429, 781, 129 is 7858422.
2. How to calculate the LCM of 234, 429, 781, 129?
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 234, 429, 781, 129.
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}.