Find the LCM of 169, 286, 754, 478 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 169, 286, 754, 478. So, keep reading to learn more.
Given numbers are 169,286,754,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,286,754,478 is 25769458.
Find LCM of 169,286,754,478 with Prime Factorization
2 | 169, 286, 754, 478 |
13 | 169, 143, 377, 239 |
13, 11, 29, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 11 x 29 x 239 = 25769458
Therefore, the lowest common multiple of 169,286,754,478 is 25769458.
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.
169 x 286 x 754 x 478 = 17420153608
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.
169 : 1, 13, 169
286 : 1, 2, 11, 13, 22, 26, 143, 286
754 : 1, 2, 13, 26, 29, 58, 377, 754
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,286,754,478, is 1.
Now, the common factors can be found like this.
169:13x 13
286:2x 11x 13
754:2x 13x 29
478:2x 239
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 17420153608/(1x676)
LCM = 17420153608/676
LCM = 25769458
Thus, we can understand that the LCM of 169,286,754,478 is 25769458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 286, 754, 478?
Answer: LCM of 169, 286, 754, 478 is 25769458.
2. How to calculate the LCM of 169, 286, 754, 478?
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 169, 286, 754, 478.
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}.