Find the LCM of 332, 217, 124, 272 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 332, 217, 124, 272. So, keep reading to learn more.
Given numbers are 332,217,124,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,217,124,272 is 4898992.
Find LCM of 332,217,124,272 with Prime Factorization
2 | 332, 217, 124, 272 |
2 | 166, 217, 62, 136 |
31 | 83, 217, 31, 68 |
83, 7, 1, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 83 x 7 x 1 x 68 = 4898992
Therefore, the lowest common multiple of 332,217,124,272 is 4898992.
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.
332 x 217 x 124 x 272 = 2429900032
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.
332 : 1, 2, 4, 83, 166, 332
217 : 1, 7, 31, 217
124 : 1, 2, 4, 31, 62, 124
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,217,124,272, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
217:7x 31
124:2x 2x 31
272:2x 2x 2x 2x 17
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 31 = 496
Therefore, the value for common factors is 496.
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 = 2429900032/(1x496)
LCM = 2429900032/496
LCM = 4898992
Thus, we can understand that the LCM of 332,217,124,272 is 4898992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 332, 217, 124, 272?
Answer: LCM of 332, 217, 124, 272 is 4898992.
2. How to calculate the LCM of 332, 217, 124, 272?
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 332, 217, 124, 272.
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}.