Find the LCM of 944, 611, 220, 235 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 944, 611, 220, 235. So, keep reading to learn more.
Given numbers are 944,611,220,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 944,611,220,235 is 31723120.
Find LCM of 944,611,220,235 with Prime Factorization
2 | 944, 611, 220, 235 |
2 | 472, 611, 110, 235 |
5 | 236, 611, 55, 235 |
47 | 236, 611, 11, 47 |
236, 13, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 236 x 13 x 11 x 1 = 31723120
Therefore, the lowest common multiple of 944,611,220,235 is 31723120.
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.
944 x 611 x 220 x 235 = 29819732800
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.
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
611 : 1, 13, 47, 611
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,611,220,235, is 1.
Now, the common factors can be found like this.
944:2x 2x 2x 2x 59
611:13x 47
220:2x 2x 5x 11
235:5x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 29819732800/(1x940)
LCM = 29819732800/940
LCM = 31723120
Thus, we can understand that the LCM of 944,611,220,235 is 31723120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 944, 611, 220, 235?
Answer: LCM of 944, 611, 220, 235 is 31723120.
2. How to calculate the LCM of 944, 611, 220, 235?
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 944, 611, 220, 235.
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}.