Find the LCM of 578, 132, 847, 578 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 578, 132, 847, 578. So, keep reading to learn more.
Given numbers are 578,132,847,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,132,847,578 is 2937396.
Find LCM of 578,132,847,578 with Prime Factorization
2 | 578, 132, 847, 578 |
11 | 289, 66, 847, 289 |
17 | 289, 6, 77, 289 |
17 | 17, 6, 77, 17 |
1, 6, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 17 x 1 x 6 x 77 x 1 = 2937396
Therefore, the lowest common multiple of 578,132,847,578 is 2937396.
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.
578 x 132 x 847 x 578 = 37351927536
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.
578 : 1, 2, 17, 34, 289, 578
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
847 : 1, 7, 11, 77, 121, 847
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,132,847,578, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
132:2x 2x 3x 11
847:7x 11x 11
578:2x 17x 17
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 11x 17x 17 = 12716
Therefore, the value for common factors is 12716.
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 = 37351927536/(1x12716)
LCM = 37351927536/12716
LCM = 2937396
Thus, we can understand that the LCM of 578,132,847,578 is 2937396.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 132, 847, 578?
Answer: LCM of 578, 132, 847, 578 is 2937396.
2. How to calculate the LCM of 578, 132, 847, 578?
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 578, 132, 847, 578.
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}.