Find the LCM of 889, 905, 755, 723, 463 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 889, 905, 755, 723, 463. So, keep reading to learn more.
Given numbers are 889,905,755,723,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,905,755,723,463 is 40667415764955.
Find LCM of 889,905,755,723,463 with Prime Factorization
5 | 889, 905, 755, 723, 463 |
889, 181, 151, 723, 463 |
Multiply the prime numbers at the bottom and the left side.
5 x 889 x 181 x 151 x 723 x 463 = 40667415764955
Therefore, the lowest common multiple of 889,905,755,723,463 is 40667415764955.
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.
889 x 905 x 755 x 723 x 463 = 203337078824775
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.
889 : 1, 7, 127, 889
905 : 1, 5, 181, 905
755 : 1, 5, 151, 755
723 : 1, 3, 241, 723
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,905,755,723,463, is 1.
Now, the common factors can be found like this.
889:7x 127
905:5x 181
755:5x 151
723:3x 241
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 203337078824775/(1x5)
LCM = 203337078824775/5
LCM = 40667415764955
Thus, we can understand that the LCM of 889,905,755,723,463 is 40667415764955.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 905, 755, 723, 463?
Answer: LCM of 889, 905, 755, 723, 463 is 40667415764955.
2. How to calculate the LCM of 889, 905, 755, 723, 463?
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 889, 905, 755, 723, 463.
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}.