LCM of 570, 114, 986, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 114, 986, 746 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 570, 114, 986, 746. So, keep reading to learn more.
Given numbers are 570,114,986,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,114,986,746 is 104816730.
Find LCM of 570,114,986,746 with Prime Factorization
| 2 | 570, 114, 986, 746 |
| 3 | 285, 57, 493, 373 |
| 19 | 95, 19, 493, 373 |
| 5, 1, 493, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 5 x 1 x 493 x 373 = 104816730
Therefore, the lowest common multiple of 570,114,986,746 is 104816730.
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.
570 x 114 x 986 x 746 = 47796428880
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
114 : 1, 2, 3, 6, 19, 38, 57, 114
986 : 1, 2, 17, 29, 34, 58, 493, 986
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,114,986,746, is 2.
Now, the common factors can be found like this.
570:2x 3x 5x 19
114:2x 3x 19
986:2x 17x 29
746:2x 373
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 19 = 228
Therefore, the value for common factors is 228.
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 = 47796428880/(2x228)
LCM = 47796428880/456
LCM = 104816730
Thus, we can understand that the LCM of 570,114,986,746 is 104816730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 570, 114, 986, 746
1. What is the LCM of 570, 114, 986, 746?
Answer: LCM of 570, 114, 986, 746 is 104816730.
2. How to calculate the LCM of 570, 114, 986, 746?
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 570, 114, 986, 746.
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}.