Find the LCM of 416, 142, 970, 736, 871 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 416, 142, 970, 736, 871. So, keep reading to learn more.
Given numbers are 416,142,970,736,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,142,970,736,871 is 22074763360.
Find LCM of 416,142,970,736,871 with Prime Factorization
2 | 416, 142, 970, 736, 871 |
2 | 208, 71, 485, 368, 871 |
2 | 104, 71, 485, 184, 871 |
2 | 52, 71, 485, 92, 871 |
2 | 26, 71, 485, 46, 871 |
13 | 13, 71, 485, 23, 871 |
1, 71, 485, 23, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 1 x 71 x 485 x 23 x 67 = 22074763360
Therefore, the lowest common multiple of 416,142,970,736,871 is 22074763360.
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.
416 x 142 x 970 x 736 x 871 = 36732406231040
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
142 : 1, 2, 71, 142
970 : 1, 2, 5, 10, 97, 194, 485, 970
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,142,970,736,871, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
142:2x 71
970:2x 5x 97
736:2x 2x 2x 2x 2x 23
871:13x 67
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 2x 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 36732406231040/(1x1664)
LCM = 36732406231040/1664
LCM = 22074763360
Thus, we can understand that the LCM of 416,142,970,736,871 is 22074763360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 142, 970, 736, 871?
Answer: LCM of 416, 142, 970, 736, 871 is 22074763360.
2. How to calculate the LCM of 416, 142, 970, 736, 871?
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 416, 142, 970, 736, 871.
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}.