Find the LCM of 372, 829, 326, 489 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 372, 829, 326, 489. So, keep reading to learn more.
Given numbers are 372,829,326,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,829,326,489 is 50267244.
Find LCM of 372,829,326,489 with Prime Factorization
2 | 372, 829, 326, 489 |
3 | 186, 829, 163, 489 |
163 | 62, 829, 163, 163 |
62, 829, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 62 x 829 x 1 x 1 = 50267244
Therefore, the lowest common multiple of 372,829,326,489 is 50267244.
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.
372 x 829 x 326 x 489 = 49161364632
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
829 : 1, 829
326 : 1, 2, 163, 326
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,829,326,489, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
829:829
326:2x 163
489:3x 163
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 163 = 978
Therefore, the value for common factors is 978.
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 = 49161364632/(1x978)
LCM = 49161364632/978
LCM = 50267244
Thus, we can understand that the LCM of 372,829,326,489 is 50267244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 829, 326, 489?
Answer: LCM of 372, 829, 326, 489 is 50267244.
2. How to calculate the LCM of 372, 829, 326, 489?
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 372, 829, 326, 489.
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}.