Find the LCM of 642, 904, 723, 261, 119 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 642, 904, 723, 261, 119. So, keep reading to learn more.
Given numbers are 642,904,723,261,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,904,723,261,119 is 724030263432.
Find LCM of 642,904,723,261,119 with Prime Factorization
2 | 642, 904, 723, 261, 119 |
3 | 321, 452, 723, 261, 119 |
107, 452, 241, 87, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 452 x 241 x 87 x 119 = 724030263432
Therefore, the lowest common multiple of 642,904,723,261,119 is 724030263432.
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.
642 x 904 x 723 x 261 x 119 = 13032544741776
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
904 : 1, 2, 4, 8, 113, 226, 452, 904
723 : 1, 3, 241, 723
261 : 1, 3, 9, 29, 87, 261
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,904,723,261,119, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
904:2x 2x 2x 113
723:3x 241
261:3x 3x 29
119:7x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 13032544741776/(1x18)
LCM = 13032544741776/18
LCM = 724030263432
Thus, we can understand that the LCM of 642,904,723,261,119 is 724030263432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 904, 723, 261, 119?
Answer: LCM of 642, 904, 723, 261, 119 is 724030263432.
2. How to calculate the LCM of 642, 904, 723, 261, 119?
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 642, 904, 723, 261, 119.
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}.