Find the LCM of 974, 417, 556, 483 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 974, 417, 556, 483. So, keep reading to learn more.
Given numbers are 974,417,556,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,417,556,483 is 130782876.
Find LCM of 974,417,556,483 with Prime Factorization
2 | 974, 417, 556, 483 |
3 | 487, 417, 278, 483 |
139 | 487, 139, 278, 161 |
487, 1, 2, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 487 x 1 x 2 x 161 = 130782876
Therefore, the lowest common multiple of 974,417,556,483 is 130782876.
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.
974 x 417 x 556 x 483 = 109072918584
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.
974 : 1, 2, 487, 974
417 : 1, 3, 139, 417
556 : 1, 2, 4, 139, 278, 556
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,417,556,483, is 1.
Now, the common factors can be found like this.
974:2x 487
417:3x 139
556:2x 2x 139
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 139 = 834
Therefore, the value for common factors is 834.
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 = 109072918584/(1x834)
LCM = 109072918584/834
LCM = 130782876
Thus, we can understand that the LCM of 974,417,556,483 is 130782876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 417, 556, 483?
Answer: LCM of 974, 417, 556, 483 is 130782876.
2. How to calculate the LCM of 974, 417, 556, 483?
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 974, 417, 556, 483.
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}.