Find the LCM of 989, 234, 774, 367, 345 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 989, 234, 774, 367, 345. So, keep reading to learn more.
Given numbers are 989,234,774,367,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,234,774,367,345 is 424666710.
Find LCM of 989,234,774,367,345 with Prime Factorization
2 | 989, 234, 774, 367, 345 |
3 | 989, 117, 387, 367, 345 |
3 | 989, 39, 129, 367, 115 |
23 | 989, 13, 43, 367, 115 |
43 | 43, 13, 43, 367, 5 |
1, 13, 1, 367, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 43 x 1 x 13 x 1 x 367 x 5 = 424666710
Therefore, the lowest common multiple of 989,234,774,367,345 is 424666710.
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.
989 x 234 x 774 x 367 x 345 = 22679750314260
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.
989 : 1, 23, 43, 989
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
367 : 1, 367
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,234,774,367,345, is 1.
Now, the common factors can be found like this.
989:23x 43
234:2x 3x 3x 13
774:2x 3x 3x 43
367:367
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 23x 43 = 53406
Therefore, the value for common factors is 53406.
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 = 22679750314260/(1x53406)
LCM = 22679750314260/53406
LCM = 424666710
Thus, we can understand that the LCM of 989,234,774,367,345 is 424666710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 234, 774, 367, 345?
Answer: LCM of 989, 234, 774, 367, 345 is 424666710.
2. How to calculate the LCM of 989, 234, 774, 367, 345?
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 989, 234, 774, 367, 345.
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}.