Find the LCM of 429, 326, 839, 894, 723 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, 326, 839, 894, 723. So, keep reading to learn more.
Given numbers are 429,326,839,894,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,326,839,894,723 is 4213472502954.
Find LCM of 429,326,839,894,723 with Prime Factorization
2 | 429, 326, 839, 894, 723 |
3 | 429, 163, 839, 447, 723 |
143, 163, 839, 149, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 163 x 839 x 149 x 241 = 4213472502954
Therefore, the lowest common multiple of 429,326,839,894,723 is 4213472502954.
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 326 x 839 x 894 x 723 = 75842505053172
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
326 : 1, 2, 163, 326
839 : 1, 839
894 : 1, 2, 3, 6, 149, 298, 447, 894
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,326,839,894,723, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
326:2x 163
839:839
894:2x 3x 149
723:3x 241
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 3 = 18
Therefore, the value for common factors is 18.
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 = 75842505053172/(1x18)
LCM = 75842505053172/18
LCM = 4213472502954
Thus, we can understand that the LCM of 429,326,839,894,723 is 4213472502954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 326, 839, 894, 723?
Answer: LCM of 429, 326, 839, 894, 723 is 4213472502954.
2. How to calculate the LCM of 429, 326, 839, 894, 723?
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, 326, 839, 894, 723.
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}.