Find the LCM of 528, 816, 237, 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 528, 816, 237, 272. So, keep reading to learn more.
Given numbers are 528,816,237,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,816,237,272 is 709104.
Find LCM of 528,816,237,272 with Prime Factorization
2 | 528, 816, 237, 272 |
2 | 264, 408, 237, 136 |
2 | 132, 204, 237, 68 |
2 | 66, 102, 237, 34 |
3 | 33, 51, 237, 17 |
17 | 11, 17, 79, 17 |
11, 1, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 11 x 1 x 79 x 1 = 709104
Therefore, the lowest common multiple of 528,816,237,272 is 709104.
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.
528 x 816 x 237 x 272 = 27774185472
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
237 : 1, 3, 79, 237
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 528,816,237,272, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
816:2x 2x 2x 2x 3x 17
237:3x 79
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 2x 2x 2x 2x 3x 3x 17 = 39168
Therefore, the value for common factors is 39168.
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 = 27774185472/(1x39168)
LCM = 27774185472/39168
LCM = 709104
Thus, we can understand that the LCM of 528,816,237,272 is 709104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 816, 237, 272?
Answer: LCM of 528, 816, 237, 272 is 709104.
2. How to calculate the LCM of 528, 816, 237, 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 528, 816, 237, 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}.