Find the LCM of 388, 620, 508, 980 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 388, 620, 508, 980. So, keep reading to learn more.
Given numbers are 388,620,508,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,620,508,980 is 374251220.
Find LCM of 388,620,508,980 with Prime Factorization
2 | 388, 620, 508, 980 |
2 | 194, 310, 254, 490 |
5 | 97, 155, 127, 245 |
97, 31, 127, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 97 x 31 x 127 x 49 = 374251220
Therefore, the lowest common multiple of 388,620,508,980 is 374251220.
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.
388 x 620 x 508 x 980 = 119760390400
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.
388 : 1, 2, 4, 97, 194, 388
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
508 : 1, 2, 4, 127, 254, 508
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,620,508,980, is 4.
Now, the common factors can be found like this.
388:2x 2x 97
620:2x 2x 5x 31
508:2x 2x 127
980:2x 2x 5x 7x 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 5 = 80
Therefore, the value for common factors is 80.
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 = 119760390400/(4x80)
LCM = 119760390400/320
LCM = 374251220
Thus, we can understand that the LCM of 388,620,508,980 is 374251220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 620, 508, 980?
Answer: LCM of 388, 620, 508, 980 is 374251220.
2. How to calculate the LCM of 388, 620, 508, 980?
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 388, 620, 508, 980.
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}.