Find the LCM of 953, 348, 164, 464 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 953, 348, 164, 464. So, keep reading to learn more.
Given numbers are 953,348,164,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,348,164,464 is 54389616.
Find LCM of 953,348,164,464 with Prime Factorization
2 | 953, 348, 164, 464 |
2 | 953, 174, 82, 232 |
29 | 953, 87, 41, 116 |
953, 3, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 953 x 3 x 41 x 4 = 54389616
Therefore, the lowest common multiple of 953,348,164,464 is 54389616.
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.
953 x 348 x 164 x 464 = 25236781824
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.
953 : 1, 953
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
164 : 1, 2, 4, 41, 82, 164
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,348,164,464, is 1.
Now, the common factors can be found like this.
953:953
348:2x 2x 3x 29
164:2x 2x 41
464:2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 29 = 464
Therefore, the value for common factors is 464.
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 = 25236781824/(1x464)
LCM = 25236781824/464
LCM = 54389616
Thus, we can understand that the LCM of 953,348,164,464 is 54389616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 953, 348, 164, 464?
Answer: LCM of 953, 348, 164, 464 is 54389616.
2. How to calculate the LCM of 953, 348, 164, 464?
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 953, 348, 164, 464.
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}.