Find the LCM of 431, 372, 152, 196, 955 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 431, 372, 152, 196, 955. So, keep reading to learn more.
Given numbers are 431,372,152,196,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,372,152,196,955 is 285103965720.
Find LCM of 431,372,152,196,955 with Prime Factorization
2 | 431, 372, 152, 196, 955 |
2 | 431, 186, 76, 98, 955 |
431, 93, 38, 49, 955 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 431 x 93 x 38 x 49 x 955 = 285103965720
Therefore, the lowest common multiple of 431,372,152,196,955 is 285103965720.
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.
431 x 372 x 152 x 196 x 955 = 4561663451520
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.
431 : 1, 431
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
152 : 1, 2, 4, 8, 19, 38, 76, 152
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,372,152,196,955, is 1.
Now, the common factors can be found like this.
431:431
372:2x 2x 3x 31
152:2x 2x 2x 19
196:2x 2x 7x 7
955:5x 191
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 2 = 16
Therefore, the value for common factors is 16.
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 = 4561663451520/(1x16)
LCM = 4561663451520/16
LCM = 285103965720
Thus, we can understand that the LCM of 431,372,152,196,955 is 285103965720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 372, 152, 196, 955?
Answer: LCM of 431, 372, 152, 196, 955 is 285103965720.
2. How to calculate the LCM of 431, 372, 152, 196, 955?
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 431, 372, 152, 196, 955.
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}.