Find the LCM of 748, 475, 338, 220 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 748, 475, 338, 220. So, keep reading to learn more.
Given numbers are 748,475,338,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,475,338,220 is 60045700.
Find LCM of 748,475,338,220 with Prime Factorization
2 | 748, 475, 338, 220 |
2 | 374, 475, 169, 110 |
5 | 187, 475, 169, 55 |
11 | 187, 95, 169, 11 |
17, 95, 169, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 95 x 169 x 1 = 60045700
Therefore, the lowest common multiple of 748,475,338,220 is 60045700.
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.
748 x 475 x 338 x 220 = 26420108000
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
475 : 1, 5, 19, 25, 95, 475
338 : 1, 2, 13, 26, 169, 338
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,475,338,220, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
475:5x 5x 19
338:2x 13x 13
220:2x 2x 5x 11
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 26420108000/(1x440)
LCM = 26420108000/440
LCM = 60045700
Thus, we can understand that the LCM of 748,475,338,220 is 60045700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 475, 338, 220?
Answer: LCM of 748, 475, 338, 220 is 60045700.
2. How to calculate the LCM of 748, 475, 338, 220?
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 748, 475, 338, 220.
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}.