Find the LCM of 169, 658, 828, 627, 649 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, 658, 828, 627, 649. So, keep reading to learn more.
Given numbers are 169,658,828,627,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,658,828,627,649 is 567689990868.
Find LCM of 169,658,828,627,649 with Prime Factorization
2 | 169, 658, 828, 627, 649 |
3 | 169, 329, 414, 627, 649 |
11 | 169, 329, 138, 209, 649 |
169, 329, 138, 19, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 169 x 329 x 138 x 19 x 59 = 567689990868
Therefore, the lowest common multiple of 169,658,828,627,649 is 567689990868.
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 658 x 828 x 627 x 649 = 37467539397288
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
658 : 1, 2, 7, 14, 47, 94, 329, 658
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
627 : 1, 3, 11, 19, 33, 57, 209, 627
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,658,828,627,649, is 1.
Now, the common factors can be found like this.
169:13x 13
658:2x 7x 47
828:2x 2x 3x 3x 23
627:3x 11x 19
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 37467539397288/(1x66)
LCM = 37467539397288/66
LCM = 567689990868
Thus, we can understand that the LCM of 169,658,828,627,649 is 567689990868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 658, 828, 627, 649?
Answer: LCM of 169, 658, 828, 627, 649 is 567689990868.
2. How to calculate the LCM of 169, 658, 828, 627, 649?
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, 658, 828, 627, 649.
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}.