Find the LCM of 443, 596, 398, 597, 577 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 443, 596, 398, 597, 577. So, keep reading to learn more.
Given numbers are 443,596,398,597,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,596,398,597,577 is 90949461132.
Find LCM of 443,596,398,597,577 with Prime Factorization
2 | 443, 596, 398, 597, 577 |
199 | 443, 298, 199, 597, 577 |
443, 298, 1, 3, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 199 x 443 x 298 x 1 x 3 x 577 = 90949461132
Therefore, the lowest common multiple of 443,596,398,597,577 is 90949461132.
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.
443 x 596 x 398 x 597 x 577 = 36197885530536
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.
443 : 1, 443
596 : 1, 2, 4, 149, 298, 596
398 : 1, 2, 199, 398
597 : 1, 3, 199, 597
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,596,398,597,577, is 1.
Now, the common factors can be found like this.
443:443
596:2x 2x 149
398:2x 199
597:3x 199
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 199 = 398
Therefore, the value for common factors is 398.
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 = 36197885530536/(1x398)
LCM = 36197885530536/398
LCM = 90949461132
Thus, we can understand that the LCM of 443,596,398,597,577 is 90949461132.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 443, 596, 398, 597, 577?
Answer: LCM of 443, 596, 398, 597, 577 is 90949461132.
2. How to calculate the LCM of 443, 596, 398, 597, 577?
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 443, 596, 398, 597, 577.
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}.