Find the LCM of 986, 274, 861, 574 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 986, 274, 861, 574. So, keep reading to learn more.
Given numbers are 986,274,861,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,274,861,574 is 116305602.
Find LCM of 986,274,861,574 with Prime Factorization
2 | 986, 274, 861, 574 |
7 | 493, 137, 861, 287 |
41 | 493, 137, 123, 41 |
493, 137, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 493 x 137 x 3 x 1 = 116305602
Therefore, the lowest common multiple of 986,274,861,574 is 116305602.
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.
986 x 274 x 861 x 574 = 133518831096
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
274 : 1, 2, 137, 274
861 : 1, 3, 7, 21, 41, 123, 287, 861
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,274,861,574, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
274:2x 137
861:3x 7x 41
574:2x 7x 41
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 7x 41 = 1148
Therefore, the value for common factors is 1148.
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 = 133518831096/(1x1148)
LCM = 133518831096/1148
LCM = 116305602
Thus, we can understand that the LCM of 986,274,861,574 is 116305602.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 274, 861, 574?
Answer: LCM of 986, 274, 861, 574 is 116305602.
2. How to calculate the LCM of 986, 274, 861, 574?
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 986, 274, 861, 574.
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}.