Find the LCM of 739, 732, 179, 537, 309 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 739, 732, 179, 537, 309. So, keep reading to learn more.
Given numbers are 739,732,179,537,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,732,179,537,309 is 9973458276.
Find LCM of 739,732,179,537,309 with Prime Factorization
3 | 739, 732, 179, 537, 309 |
179 | 739, 244, 179, 179, 103 |
739, 244, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 179 x 739 x 244 x 1 x 1 x 103 = 9973458276
Therefore, the lowest common multiple of 739,732,179,537,309 is 9973458276.
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.
739 x 732 x 179 x 537 x 309 = 16067241282636
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.
739 : 1, 739
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
179 : 1, 179
537 : 1, 3, 179, 537
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,732,179,537,309, is 1.
Now, the common factors can be found like this.
739:739
732:2x 2x 3x 61
179:179
537:3x 179
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 179 = 1611
Therefore, the value for common factors is 1611.
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 = 16067241282636/(1x1611)
LCM = 16067241282636/1611
LCM = 9973458276
Thus, we can understand that the LCM of 739,732,179,537,309 is 9973458276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 732, 179, 537, 309?
Answer: LCM of 739, 732, 179, 537, 309 is 9973458276.
2. How to calculate the LCM of 739, 732, 179, 537, 309?
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 739, 732, 179, 537, 309.
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}.