Find the LCM of 170, 658, 594, 695, 297 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 170, 658, 594, 695, 297. So, keep reading to learn more.
Given numbers are 170,658,594,695,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,658,594,695,297 is 2308958190.
Find LCM of 170,658,594,695,297 with Prime Factorization
2 | 170, 658, 594, 695, 297 |
3 | 85, 329, 297, 695, 297 |
3 | 85, 329, 99, 695, 99 |
3 | 85, 329, 33, 695, 33 |
5 | 85, 329, 11, 695, 11 |
11 | 17, 329, 11, 139, 11 |
17, 329, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 17 x 329 x 1 x 139 x 1 = 2308958190
Therefore, the lowest common multiple of 170,658,594,695,297 is 2308958190.
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.
170 x 658 x 594 x 695 x 297 = 13715211648600
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
658 : 1, 2, 7, 14, 47, 94, 329, 658
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
695 : 1, 5, 139, 695
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,658,594,695,297, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
658:2x 7x 47
594:2x 3x 3x 3x 11
695:5x 139
297:3x 3x 3x 11
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 3x 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 13715211648600/(1x5940)
LCM = 13715211648600/5940
LCM = 2308958190
Thus, we can understand that the LCM of 170,658,594,695,297 is 2308958190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 170, 658, 594, 695, 297?
Answer: LCM of 170, 658, 594, 695, 297 is 2308958190.
2. How to calculate the LCM of 170, 658, 594, 695, 297?
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 170, 658, 594, 695, 297.
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}.