Find the LCM of 460, 841, 955, 965, 135 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 460, 841, 955, 965, 135. So, keep reading to learn more.
Given numbers are 460,841,955,965,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,841,955,965,135 is 385042144860.
Find LCM of 460,841,955,965,135 with Prime Factorization
5 | 460, 841, 955, 965, 135 |
92, 841, 191, 193, 27 |
Multiply the prime numbers at the bottom and the left side.
5 x 92 x 841 x 191 x 193 x 27 = 385042144860
Therefore, the lowest common multiple of 460,841,955,965,135 is 385042144860.
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.
460 x 841 x 955 x 965 x 135 = 48130268107500
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
841 : 1, 29, 841
955 : 1, 5, 191, 955
965 : 1, 5, 193, 965
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,841,955,965,135, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
841:29x 29
955:5x 191
965:5x 193
135:3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 48130268107500/(1x125)
LCM = 48130268107500/125
LCM = 385042144860
Thus, we can understand that the LCM of 460,841,955,965,135 is 385042144860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 841, 955, 965, 135?
Answer: LCM of 460, 841, 955, 965, 135 is 385042144860.
2. How to calculate the LCM of 460, 841, 955, 965, 135?
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 460, 841, 955, 965, 135.
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}.