Find the LCM of 745, 247, 614, 194, 661 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 745, 247, 614, 194, 661. So, keep reading to learn more.
Given numbers are 745,247,614,194,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,247,614,194,661 is 7244272709570.
Find LCM of 745,247,614,194,661 with Prime Factorization
2 | 745, 247, 614, 194, 661 |
745, 247, 307, 97, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 745 x 247 x 307 x 97 x 661 = 7244272709570
Therefore, the lowest common multiple of 745,247,614,194,661 is 7244272709570.
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.
745 x 247 x 614 x 194 x 661 = 14488545419140
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.
745 : 1, 5, 149, 745
247 : 1, 13, 19, 247
614 : 1, 2, 307, 614
194 : 1, 2, 97, 194
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,247,614,194,661, is 1.
Now, the common factors can be found like this.
745:5x 149
247:13x 19
614:2x 307
194:2x 97
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 14488545419140/(1x2)
LCM = 14488545419140/2
LCM = 7244272709570
Thus, we can understand that the LCM of 745,247,614,194,661 is 7244272709570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 745, 247, 614, 194, 661?
Answer: LCM of 745, 247, 614, 194, 661 is 7244272709570.
2. How to calculate the LCM of 745, 247, 614, 194, 661?
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 745, 247, 614, 194, 661.
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}.