Find the LCM of 458, 893, 835, 167 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 458, 893, 835, 167. So, keep reading to learn more.
Given numbers are 458,893,835,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,893,835,167 is 341509990.
Find LCM of 458,893,835,167 with Prime Factorization
167 | 458, 893, 835, 167 |
458, 893, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
167 x 458 x 893 x 5 x 1 = 341509990
Therefore, the lowest common multiple of 458,893,835,167 is 341509990.
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.
458 x 893 x 835 x 167 = 57032168330
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.
458 : 1, 2, 229, 458
893 : 1, 19, 47, 893
835 : 1, 5, 167, 835
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,893,835,167, is 1.
Now, the common factors can be found like this.
458:2x 229
893:19x 47
835:5x 167
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
167 = 167
Therefore, the value for common factors is 167.
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 = 57032168330/(1x167)
LCM = 57032168330/167
LCM = 341509990
Thus, we can understand that the LCM of 458,893,835,167 is 341509990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 458, 893, 835, 167?
Answer: LCM of 458, 893, 835, 167 is 341509990.
2. How to calculate the LCM of 458, 893, 835, 167?
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 458, 893, 835, 167.
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}.