Find the LCM of 367, 228, 644, 713, 620 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 367, 228, 644, 713, 620. So, keep reading to learn more.
Given numbers are 367,228,644,713,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,228,644,713,620 is 2088134580.
Find LCM of 367,228,644,713,620 with Prime Factorization
2 | 367, 228, 644, 713, 620 |
2 | 367, 114, 322, 713, 310 |
23 | 367, 57, 161, 713, 155 |
31 | 367, 57, 7, 31, 155 |
367, 57, 7, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 31 x 367 x 57 x 7 x 1 x 5 = 2088134580
Therefore, the lowest common multiple of 367,228,644,713,620 is 2088134580.
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.
367 x 228 x 644 x 713 x 620 = 23821439288640
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.
367 : 1, 367
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
713 : 1, 23, 31, 713
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,228,644,713,620, is 1.
Now, the common factors can be found like this.
367:367
228:2x 2x 3x 19
644:2x 2x 7x 23
713:23x 31
620:2x 2x 5x 31
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 23x 31 = 11408
Therefore, the value for common factors is 11408.
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 = 23821439288640/(1x11408)
LCM = 23821439288640/11408
LCM = 2088134580
Thus, we can understand that the LCM of 367,228,644,713,620 is 2088134580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 228, 644, 713, 620?
Answer: LCM of 367, 228, 644, 713, 620 is 2088134580.
2. How to calculate the LCM of 367, 228, 644, 713, 620?
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 367, 228, 644, 713, 620.
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}.