Find the LCM of 610, 491, 982, 291, 438 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 610, 491, 982, 291, 438. So, keep reading to learn more.
Given numbers are 610,491,982,291,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,491,982,291,438 is 6362490930.
Find LCM of 610,491,982,291,438 with Prime Factorization
2 | 610, 491, 982, 291, 438 |
3 | 305, 491, 491, 291, 219 |
491 | 305, 491, 491, 97, 73 |
305, 1, 1, 97, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 491 x 305 x 1 x 1 x 97 x 73 = 6362490930
Therefore, the lowest common multiple of 610,491,982,291,438 is 6362490930.
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.
610 x 491 x 982 x 291 x 438 = 37487796559560
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
491 : 1, 491
982 : 1, 2, 491, 982
291 : 1, 3, 97, 291
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,491,982,291,438, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
491:491
982:2x 491
291:3x 97
438:2x 3x 73
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 3x 491 = 5892
Therefore, the value for common factors is 5892.
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 = 37487796559560/(1x5892)
LCM = 37487796559560/5892
LCM = 6362490930
Thus, we can understand that the LCM of 610,491,982,291,438 is 6362490930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 610, 491, 982, 291, 438?
Answer: LCM of 610, 491, 982, 291, 438 is 6362490930.
2. How to calculate the LCM of 610, 491, 982, 291, 438?
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 610, 491, 982, 291, 438.
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}.