Find the LCM of 588, 748, 247, 715, 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 588, 748, 247, 715, 614. So, keep reading to learn more.
Given numbers are 588,748,247,715,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,748,247,715,614 is 41689267620.
Find LCM of 588,748,247,715,614 with Prime Factorization
2 | 588, 748, 247, 715, 614 |
2 | 294, 374, 247, 715, 307 |
11 | 147, 187, 247, 715, 307 |
13 | 147, 17, 247, 65, 307 |
147, 17, 19, 5, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 147 x 17 x 19 x 5 x 307 = 41689267620
Therefore, the lowest common multiple of 588,748,247,715,614 is 41689267620.
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.
588 x 748 x 247 x 715 x 614 = 47692522157280
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
247 : 1, 13, 19, 247
715 : 1, 5, 11, 13, 55, 65, 143, 715
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,748,247,715,614, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
748:2x 2x 11x 17
247:13x 19
715:5x 11x 13
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 2x 2x 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 47692522157280/(1x1144)
LCM = 47692522157280/1144
LCM = 41689267620
Thus, we can understand that the LCM of 588,748,247,715,614 is 41689267620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 748, 247, 715, 614?
Answer: LCM of 588, 748, 247, 715, 614 is 41689267620.
2. How to calculate the LCM of 588, 748, 247, 715, 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 588, 748, 247, 715, 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}.