Find the LCM of 614, 764, 583, 894, 245 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 614, 764, 583, 894, 245. So, keep reading to learn more.
Given numbers are 614,764,583,894,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,764,583,894,245 is 14975243620260.
Find LCM of 614,764,583,894,245 with Prime Factorization
2 | 614, 764, 583, 894, 245 |
307, 382, 583, 447, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 307 x 382 x 583 x 447 x 245 = 14975243620260
Therefore, the lowest common multiple of 614,764,583,894,245 is 14975243620260.
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.
614 x 764 x 583 x 894 x 245 = 59900974481040
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.
614 : 1, 2, 307, 614
764 : 1, 2, 4, 191, 382, 764
583 : 1, 11, 53, 583
894 : 1, 2, 3, 6, 149, 298, 447, 894
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,764,583,894,245, is 1.
Now, the common factors can be found like this.
614:2x 307
764:2x 2x 191
583:11x 53
894:2x 3x 149
245:5x 7x 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 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 = 59900974481040/(1x4)
LCM = 59900974481040/4
LCM = 14975243620260
Thus, we can understand that the LCM of 614,764,583,894,245 is 14975243620260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 764, 583, 894, 245?
Answer: LCM of 614, 764, 583, 894, 245 is 14975243620260.
2. How to calculate the LCM of 614, 764, 583, 894, 245?
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 614, 764, 583, 894, 245.
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}.