Find the LCM of 739, 660, 215, 215, 431 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, 660, 215, 215, 431. So, keep reading to learn more.
Given numbers are 739,660,215,215,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,660,215,215,431 is 9039285420.
Find LCM of 739,660,215,215,431 with Prime Factorization
5 | 739, 660, 215, 215, 431 |
43 | 739, 132, 43, 43, 431 |
739, 132, 1, 1, 431 |
Multiply the prime numbers at the bottom and the left side.
5 x 43 x 739 x 132 x 1 x 1 x 431 = 9039285420
Therefore, the lowest common multiple of 739,660,215,215,431 is 9039285420.
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 660 x 215 x 215 x 431 = 9717231826500
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
215 : 1, 5, 43, 215
215 : 1, 5, 43, 215
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,660,215,215,431, is 1.
Now, the common factors can be found like this.
739:739
660:2x 2x 3x 5x 11
215:5x 43
215:5x 43
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 43 = 1075
Therefore, the value for common factors is 1075.
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 = 9717231826500/(1x1075)
LCM = 9717231826500/1075
LCM = 9039285420
Thus, we can understand that the LCM of 739,660,215,215,431 is 9039285420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 660, 215, 215, 431?
Answer: LCM of 739, 660, 215, 215, 431 is 9039285420.
2. How to calculate the LCM of 739, 660, 215, 215, 431?
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, 660, 215, 215, 431.
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}.