Find the LCM of 970, 435, 223, 948, 168 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 970, 435, 223, 948, 168. So, keep reading to learn more.
Given numbers are 970,435,223,948,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,435,223,948,168 is 41627561640.
Find LCM of 970,435,223,948,168 with Prime Factorization
2 | 970, 435, 223, 948, 168 |
2 | 485, 435, 223, 474, 84 |
3 | 485, 435, 223, 237, 42 |
5 | 485, 145, 223, 79, 14 |
97, 29, 223, 79, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 97 x 29 x 223 x 79 x 14 = 41627561640
Therefore, the lowest common multiple of 970,435,223,948,168 is 41627561640.
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.
970 x 435 x 223 x 948 x 168 = 14985922190400
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
435 : 1, 3, 5, 15, 29, 87, 145, 435
223 : 1, 223
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,435,223,948,168, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
435:3x 5x 29
223:223
948:2x 2x 3x 79
168:2x 2x 2x 3x 7
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 14985922190400/(1x360)
LCM = 14985922190400/360
LCM = 41627561640
Thus, we can understand that the LCM of 970,435,223,948,168 is 41627561640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 435, 223, 948, 168?
Answer: LCM of 970, 435, 223, 948, 168 is 41627561640.
2. How to calculate the LCM of 970, 435, 223, 948, 168?
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 970, 435, 223, 948, 168.
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}.