LCM of 986, 657, 407, 222, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 657, 407, 222, 591 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, 657, 407, 222, 591. So, keep reading to learn more.
Given numbers are 986,657,407,222,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,657,407,222,591 is 51940116558.
Find LCM of 986,657,407,222,591 with Prime Factorization
| 2 | 986, 657, 407, 222, 591 |
| 3 | 493, 657, 407, 111, 591 |
| 37 | 493, 219, 407, 37, 197 |
| 493, 219, 11, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 493 x 219 x 11 x 1 x 197 = 51940116558
Therefore, the lowest common multiple of 986,657,407,222,591 is 51940116558.
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 657 x 407 x 222 x 591 = 34592117627628
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
657 : 1, 3, 9, 73, 219, 657
407 : 1, 11, 37, 407
222 : 1, 2, 3, 6, 37, 74, 111, 222
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,657,407,222,591, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
657:3x 3x 73
407:11x 37
222:2x 3x 37
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 37 = 666
Therefore, the value for common factors is 666.
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 = 34592117627628/(1x666)
LCM = 34592117627628/666
LCM = 51940116558
Thus, we can understand that the LCM of 986,657,407,222,591 is 51940116558.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 986, 657, 407, 222, 591
1. What is the LCM of 986, 657, 407, 222, 591?
Answer: LCM of 986, 657, 407, 222, 591 is 51940116558.
2. How to calculate the LCM of 986, 657, 407, 222, 591?
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, 657, 407, 222, 591.
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}.