Find the LCM of 894, 416, 947, 735, 676 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 894, 416, 947, 735, 676. So, keep reading to learn more.
Given numbers are 894,416,947,735,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,416,947,735,676 is 560867492640.
Find LCM of 894,416,947,735,676 with Prime Factorization
2 | 894, 416, 947, 735, 676 |
2 | 447, 208, 947, 735, 338 |
3 | 447, 104, 947, 735, 169 |
13 | 149, 104, 947, 245, 169 |
149, 8, 947, 245, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 149 x 8 x 947 x 245 x 13 = 560867492640
Therefore, the lowest common multiple of 894,416,947,735,676 is 560867492640.
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.
894 x 416 x 947 x 735 x 676 = 174990657703680
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
947 : 1, 947
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,416,947,735,676, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
416:2x 2x 2x 2x 2x 13
947:947
735:3x 5x 7x 7
676:2x 2x 13x 13
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 13 = 312
Therefore, the value for common factors is 312.
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 = 174990657703680/(1x312)
LCM = 174990657703680/312
LCM = 560867492640
Thus, we can understand that the LCM of 894,416,947,735,676 is 560867492640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 416, 947, 735, 676?
Answer: LCM of 894, 416, 947, 735, 676 is 560867492640.
2. How to calculate the LCM of 894, 416, 947, 735, 676?
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 894, 416, 947, 735, 676.
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}.