Find the LCM of 739, 716, 758, 356, 460 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, 716, 758, 356, 460. So, keep reading to learn more.
Given numbers are 739,716,758,356,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,716,758,356,460 is 2052506389060.
Find LCM of 739,716,758,356,460 with Prime Factorization
2 | 739, 716, 758, 356, 460 |
2 | 739, 358, 379, 178, 230 |
739, 179, 379, 89, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 739 x 179 x 379 x 89 x 115 = 2052506389060
Therefore, the lowest common multiple of 739,716,758,356,460 is 2052506389060.
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 716 x 758 x 356 x 460 = 65680204449920
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
716 : 1, 2, 4, 179, 358, 716
758 : 1, 2, 379, 758
356 : 1, 2, 4, 89, 178, 356
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,716,758,356,460, is 1.
Now, the common factors can be found like this.
739:739
716:2x 2x 179
758:2x 379
356:2x 2x 89
460:2x 2x 5x 23
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 2 = 32
Therefore, the value for common factors is 32.
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 = 65680204449920/(1x32)
LCM = 65680204449920/32
LCM = 2052506389060
Thus, we can understand that the LCM of 739,716,758,356,460 is 2052506389060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 716, 758, 356, 460?
Answer: LCM of 739, 716, 758, 356, 460 is 2052506389060.
2. How to calculate the LCM of 739, 716, 758, 356, 460?
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, 716, 758, 356, 460.
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}.