Find the LCM of 736, 942, 940, 705 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 736, 942, 940, 705. So, keep reading to learn more.
Given numbers are 736,942,940,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,942,940,705 is 81464160.
Find LCM of 736,942,940,705 with Prime Factorization
2 | 736, 942, 940, 705 |
2 | 368, 471, 470, 705 |
3 | 184, 471, 235, 705 |
5 | 184, 157, 235, 235 |
47 | 184, 157, 47, 47 |
184, 157, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 184 x 157 x 1 x 1 = 81464160
Therefore, the lowest common multiple of 736,942,940,705 is 81464160.
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.
736 x 942 x 940 x 705 = 459457862400
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
942 : 1, 2, 3, 6, 157, 314, 471, 942
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,942,940,705, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
942:2x 3x 157
940:2x 2x 5x 47
705:3x 5x 47
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 3x 5x 47 = 5640
Therefore, the value for common factors is 5640.
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 = 459457862400/(1x5640)
LCM = 459457862400/5640
LCM = 81464160
Thus, we can understand that the LCM of 736,942,940,705 is 81464160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 942, 940, 705?
Answer: LCM of 736, 942, 940, 705 is 81464160.
2. How to calculate the LCM of 736, 942, 940, 705?
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 736, 942, 940, 705.
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}.