Find the LCM of 553, 604, 846, 614 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 553, 604, 846, 614. So, keep reading to learn more.
Given numbers are 553,604,846,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,604,846,614 is 43375132332.
Find LCM of 553,604,846,614 with Prime Factorization
2 | 553, 604, 846, 614 |
553, 302, 423, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 553 x 302 x 423 x 307 = 43375132332
Therefore, the lowest common multiple of 553,604,846,614 is 43375132332.
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.
553 x 604 x 846 x 614 = 173500529328
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.
553 : 1, 7, 79, 553
604 : 1, 2, 4, 151, 302, 604
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,604,846,614, is 1.
Now, the common factors can be found like this.
553:7x 79
604:2x 2x 151
846:2x 3x 3x 47
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 173500529328/(1x4)
LCM = 173500529328/4
LCM = 43375132332
Thus, we can understand that the LCM of 553,604,846,614 is 43375132332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 604, 846, 614?
Answer: LCM of 553, 604, 846, 614 is 43375132332.
2. How to calculate the LCM of 553, 604, 846, 614?
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 553, 604, 846, 614.
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}.