Find the LCM of 724, 986, 578, 941 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 724, 986, 578, 941. So, keep reading to learn more.
Given numbers are 724,986,578,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,986,578,941 is 5709841204.
Find LCM of 724,986,578,941 with Prime Factorization
2 | 724, 986, 578, 941 |
17 | 362, 493, 289, 941 |
362, 29, 17, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 362 x 29 x 17 x 941 = 5709841204
Therefore, the lowest common multiple of 724,986,578,941 is 5709841204.
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.
724 x 986 x 578 x 941 = 388269201872
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.
724 : 1, 2, 4, 181, 362, 724
986 : 1, 2, 17, 29, 34, 58, 493, 986
578 : 1, 2, 17, 34, 289, 578
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,986,578,941, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
986:2x 17x 29
578:2x 17x 17
941:941
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 17 = 68
Therefore, the value for common factors is 68.
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 = 388269201872/(1x68)
LCM = 388269201872/68
LCM = 5709841204
Thus, we can understand that the LCM of 724,986,578,941 is 5709841204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 986, 578, 941?
Answer: LCM of 724, 986, 578, 941 is 5709841204.
2. How to calculate the LCM of 724, 986, 578, 941?
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 724, 986, 578, 941.
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}.