Find the LCM of 722, 728, 290, 116, 224 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 722, 728, 290, 116, 224. So, keep reading to learn more.
Given numbers are 722,728,290,116,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,728,290,116,224 is 152428640.
Find LCM of 722,728,290,116,224 with Prime Factorization
2 | 722, 728, 290, 116, 224 |
2 | 361, 364, 145, 58, 112 |
2 | 361, 182, 145, 29, 56 |
7 | 361, 91, 145, 29, 28 |
29 | 361, 13, 145, 29, 4 |
361, 13, 5, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 29 x 361 x 13 x 5 x 1 x 4 = 152428640
Therefore, the lowest common multiple of 722,728,290,116,224 is 152428640.
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.
722 x 728 x 290 x 116 x 224 = 3960705781760
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.
722 : 1, 2, 19, 38, 361, 722
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
290 : 1, 2, 5, 10, 29, 58, 145, 290
116 : 1, 2, 4, 29, 58, 116
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,728,290,116,224, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
728:2x 2x 2x 7x 13
290:2x 5x 29
116:2x 2x 29
224:2x 2x 2x 2x 2x 7
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 2x 2x 7x 29 = 12992
Therefore, the value for common factors is 12992.
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 = 3960705781760/(2x12992)
LCM = 3960705781760/25984
LCM = 152428640
Thus, we can understand that the LCM of 722,728,290,116,224 is 152428640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 728, 290, 116, 224?
Answer: LCM of 722, 728, 290, 116, 224 is 152428640.
2. How to calculate the LCM of 722, 728, 290, 116, 224?
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 722, 728, 290, 116, 224.
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}.