LCM of 484, 962, 345, 923, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 962, 345, 923, 573 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 484, 962, 345, 923, 573. So, keep reading to learn more.
Given numbers are 484,962,345,923,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,962,345,923,573 is 1089183990180.
Find LCM of 484,962,345,923,573 with Prime Factorization
| 2 | 484, 962, 345, 923, 573 |
| 3 | 242, 481, 345, 923, 573 |
| 13 | 242, 481, 115, 923, 191 |
| 242, 37, 115, 71, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 242 x 37 x 115 x 71 x 191 = 1089183990180
Therefore, the lowest common multiple of 484,962,345,923,573 is 1089183990180.
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.
484 x 962 x 345 x 923 x 573 = 84956351234040
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
962 : 1, 2, 13, 26, 37, 74, 481, 962
345 : 1, 3, 5, 15, 23, 69, 115, 345
923 : 1, 13, 71, 923
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,962,345,923,573, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
962:2x 13x 37
345:3x 5x 23
923:13x 71
573:3x 191
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 13 = 78
Therefore, the value for common factors is 78.
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 = 84956351234040/(1x78)
LCM = 84956351234040/78
LCM = 1089183990180
Thus, we can understand that the LCM of 484,962,345,923,573 is 1089183990180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 962, 345, 923, 573
1. What is the LCM of 484, 962, 345, 923, 573?
Answer: LCM of 484, 962, 345, 923, 573 is 1089183990180.
2. How to calculate the LCM of 484, 962, 345, 923, 573?
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 484, 962, 345, 923, 573.
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}.