Find the LCM of 68, 34, 22, 44, 723 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 68, 34, 22, 44, 723. So, keep reading to learn more.
Given numbers are 68,34,22,44,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 68,34,22,44,723 is 540804.
Find LCM of 68,34,22,44,723 with Prime Factorization
2 | 68, 34, 22, 44, 723 |
2 | 34, 17, 11, 22, 723 |
11 | 17, 17, 11, 11, 723 |
17 | 17, 17, 1, 1, 723 |
1, 1, 1, 1, 723 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 1 x 1 x 1 x 1 x 723 = 540804
Therefore, the lowest common multiple of 68,34,22,44,723 is 540804.
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.
68 x 34 x 22 x 44 x 723 = 1618085568
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.
68 : 1, 2, 4, 17, 34, 68
34 : 1, 2, 17, 34
22 : 1, 2, 11, 22
44 : 1, 2, 4, 11, 22, 44
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,34,22,44,723, is 1.
Now, the common factors can be found like this.
68:2x 2x 17
34:2x 17
22:2x 11
44:2x 2x 11
723:3x 241
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 2x 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 1618085568/(1x2992)
LCM = 1618085568/2992
LCM = 540804
Thus, we can understand that the LCM of 68,34,22,44,723 is 540804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 68, 34, 22, 44, 723?
Answer: LCM of 68, 34, 22, 44, 723 is 540804.
2. How to calculate the LCM of 68, 34, 22, 44, 723?
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 68, 34, 22, 44, 723.
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}.