Find the LCM of 491, 429, 619, 974, 831 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 491, 429, 619, 974, 831. So, keep reading to learn more.
Given numbers are 491,429,619,974,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,429,619,974,831 is 35177758190718.
Find LCM of 491,429,619,974,831 with Prime Factorization
3 | 491, 429, 619, 974, 831 |
491, 143, 619, 974, 277 |
Multiply the prime numbers at the bottom and the left side.
3 x 491 x 143 x 619 x 974 x 277 = 35177758190718
Therefore, the lowest common multiple of 491,429,619,974,831 is 35177758190718.
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.
491 x 429 x 619 x 974 x 831 = 105533274572154
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.
491 : 1, 491
429 : 1, 3, 11, 13, 33, 39, 143, 429
619 : 1, 619
974 : 1, 2, 487, 974
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,429,619,974,831, is 1.
Now, the common factors can be found like this.
491:491
429:3x 11x 13
619:619
974:2x 487
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 105533274572154/(1x3)
LCM = 105533274572154/3
LCM = 35177758190718
Thus, we can understand that the LCM of 491,429,619,974,831 is 35177758190718.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 429, 619, 974, 831?
Answer: LCM of 491, 429, 619, 974, 831 is 35177758190718.
2. How to calculate the LCM of 491, 429, 619, 974, 831?
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 491, 429, 619, 974, 831.
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}.