Find the LCM of 605, 397, 247, 573, 949 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 605, 397, 247, 573, 949. So, keep reading to learn more.
Given numbers are 605,397,247,573,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,397,247,573,949 is 2481534496155.
Find LCM of 605,397,247,573,949 with Prime Factorization
13 | 605, 397, 247, 573, 949 |
605, 397, 19, 573, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 605 x 397 x 19 x 573 x 73 = 2481534496155
Therefore, the lowest common multiple of 605,397,247,573,949 is 2481534496155.
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.
605 x 397 x 247 x 573 x 949 = 32259948450015
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.
605 : 1, 5, 11, 55, 121, 605
397 : 1, 397
247 : 1, 13, 19, 247
573 : 1, 3, 191, 573
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,397,247,573,949, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
397:397
247:13x 19
573:3x 191
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 32259948450015/(1x13)
LCM = 32259948450015/13
LCM = 2481534496155
Thus, we can understand that the LCM of 605,397,247,573,949 is 2481534496155.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 397, 247, 573, 949?
Answer: LCM of 605, 397, 247, 573, 949 is 2481534496155.
2. How to calculate the LCM of 605, 397, 247, 573, 949?
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 605, 397, 247, 573, 949.
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}.