Find the LCM of 835, 667, 989, 102 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 835, 667, 989, 102. So, keep reading to learn more.
Given numbers are 835,667,989,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,667,989,102 is 2442760770.
Find LCM of 835,667,989,102 with Prime Factorization
23 | 835, 667, 989, 102 |
835, 29, 43, 102 |
Multiply the prime numbers at the bottom and the left side.
23 x 835 x 29 x 43 x 102 = 2442760770
Therefore, the lowest common multiple of 835,667,989,102 is 2442760770.
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.
835 x 667 x 989 x 102 = 56183497710
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.
835 : 1, 5, 167, 835
667 : 1, 23, 29, 667
989 : 1, 23, 43, 989
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,667,989,102, is 1.
Now, the common factors can be found like this.
835:5x 167
667:23x 29
989:23x 43
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 56183497710/(1x23)
LCM = 56183497710/23
LCM = 2442760770
Thus, we can understand that the LCM of 835,667,989,102 is 2442760770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 667, 989, 102?
Answer: LCM of 835, 667, 989, 102 is 2442760770.
2. How to calculate the LCM of 835, 667, 989, 102?
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 835, 667, 989, 102.
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}.