Find the LCM of 955, 728, 967, 967, 993 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 955, 728, 967, 967, 993. So, keep reading to learn more.
Given numbers are 955,728,967,967,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,728,967,967,993 is 667591000440.
Find LCM of 955,728,967,967,993 with Prime Factorization
967 | 955, 728, 967, 967, 993 |
955, 728, 1, 1, 993 |
Multiply the prime numbers at the bottom and the left side.
967 x 955 x 728 x 1 x 1 x 993 = 667591000440
Therefore, the lowest common multiple of 955,728,967,967,993 is 667591000440.
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.
955 x 728 x 967 x 967 x 993 = 645560497425480
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.
955 : 1, 5, 191, 955
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
967 : 1, 967
967 : 1, 967
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,728,967,967,993, is 1.
Now, the common factors can be found like this.
955:5x 191
728:2x 2x 2x 7x 13
967:967
967:967
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
967 = 967
Therefore, the value for common factors is 967.
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 = 645560497425480/(1x967)
LCM = 645560497425480/967
LCM = 667591000440
Thus, we can understand that the LCM of 955,728,967,967,993 is 667591000440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 955, 728, 967, 967, 993?
Answer: LCM of 955, 728, 967, 967, 993 is 667591000440.
2. How to calculate the LCM of 955, 728, 967, 967, 993?
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 955, 728, 967, 967, 993.
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}.