Find the LCM of 596, 374, 280, 247, 420 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 596, 374, 280, 247, 420. So, keep reading to learn more.
Given numbers are 596,374,280,247,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,374,280,247,420 is 5781015240.
Find LCM of 596,374,280,247,420 with Prime Factorization
2 | 596, 374, 280, 247, 420 |
2 | 298, 187, 140, 247, 210 |
5 | 149, 187, 70, 247, 105 |
7 | 149, 187, 14, 247, 21 |
149, 187, 2, 247, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 149 x 187 x 2 x 247 x 3 = 5781015240
Therefore, the lowest common multiple of 596,374,280,247,420 is 5781015240.
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.
596 x 374 x 280 x 247 x 420 = 6474737068800
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.
596 : 1, 2, 4, 149, 298, 596
374 : 1, 2, 11, 17, 22, 34, 187, 374
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
247 : 1, 13, 19, 247
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,374,280,247,420, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
374:2x 11x 17
280:2x 2x 2x 5x 7
247:13x 19
420:2x 2x 3x 5x 7
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 2x 2x 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 6474737068800/(1x1120)
LCM = 6474737068800/1120
LCM = 5781015240
Thus, we can understand that the LCM of 596,374,280,247,420 is 5781015240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 374, 280, 247, 420?
Answer: LCM of 596, 374, 280, 247, 420 is 5781015240.
2. How to calculate the LCM of 596, 374, 280, 247, 420?
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 596, 374, 280, 247, 420.
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}.