Find the LCM of 716, 845, 271, 970 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 716, 845, 271, 970. So, keep reading to learn more.
Given numbers are 716,845,271,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,845,271,970 is 15904160740.
Find LCM of 716,845,271,970 with Prime Factorization
2 | 716, 845, 271, 970 |
5 | 358, 845, 271, 485 |
358, 169, 271, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 358 x 169 x 271 x 97 = 15904160740
Therefore, the lowest common multiple of 716,845,271,970 is 15904160740.
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.
716 x 845 x 271 x 970 = 159041607400
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.
716 : 1, 2, 4, 179, 358, 716
845 : 1, 5, 13, 65, 169, 845
271 : 1, 271
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,845,271,970, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
845:5x 13x 13
271:271
970:2x 5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 159041607400/(1x10)
LCM = 159041607400/10
LCM = 15904160740
Thus, we can understand that the LCM of 716,845,271,970 is 15904160740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 845, 271, 970?
Answer: LCM of 716, 845, 271, 970 is 15904160740.
2. How to calculate the LCM of 716, 845, 271, 970?
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 716, 845, 271, 970.
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}.