Find the LCM of 582, 478, 964, 932, 143 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 582, 478, 964, 932, 143. So, keep reading to learn more.
Given numbers are 582,478,964,932,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,478,964,932,143 is 2233880218284.
Find LCM of 582,478,964,932,143 with Prime Factorization
2 | 582, 478, 964, 932, 143 |
2 | 291, 239, 482, 466, 143 |
291, 239, 241, 233, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 291 x 239 x 241 x 233 x 143 = 2233880218284
Therefore, the lowest common multiple of 582,478,964,932,143 is 2233880218284.
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.
582 x 478 x 964 x 932 x 143 = 35742083492544
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
478 : 1, 2, 239, 478
964 : 1, 2, 4, 241, 482, 964
932 : 1, 2, 4, 233, 466, 932
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,478,964,932,143, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
478:2x 239
964:2x 2x 241
932:2x 2x 233
143:11x 13
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 35742083492544/(1x16)
LCM = 35742083492544/16
LCM = 2233880218284
Thus, we can understand that the LCM of 582,478,964,932,143 is 2233880218284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 478, 964, 932, 143?
Answer: LCM of 582, 478, 964, 932, 143 is 2233880218284.
2. How to calculate the LCM of 582, 478, 964, 932, 143?
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 582, 478, 964, 932, 143.
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}.