Find the LCM of 197, 119, 483, 357 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 197, 119, 483, 357. So, keep reading to learn more.
Given numbers are 197,119,483,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,119,483,357 is 1617567.
Find LCM of 197,119,483,357 with Prime Factorization
3 | 197, 119, 483, 357 |
7 | 197, 119, 161, 119 |
17 | 197, 17, 23, 17 |
197, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 197 x 1 x 23 x 1 = 1617567
Therefore, the lowest common multiple of 197,119,483,357 is 1617567.
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.
197 x 119 x 483 x 357 = 4042299933
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.
197 : 1, 197
119 : 1, 7, 17, 119
483 : 1, 3, 7, 21, 23, 69, 161, 483
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,119,483,357, is 1.
Now, the common factors can be found like this.
197:197
119:7x 17
483:3x 7x 23
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 17 = 2499
Therefore, the value for common factors is 2499.
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 = 4042299933/(1x2499)
LCM = 4042299933/2499
LCM = 1617567
Thus, we can understand that the LCM of 197,119,483,357 is 1617567.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 197, 119, 483, 357?
Answer: LCM of 197, 119, 483, 357 is 1617567.
2. How to calculate the LCM of 197, 119, 483, 357?
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 197, 119, 483, 357.
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}.