LCM of 169, 510, 745, 695, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 510, 745, 695, 782 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, 510, 745, 695, 782. So, keep reading to learn more.
Given numbers are 169,510,745,695,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,510,745,695,782 is 41056865070.
Find LCM of 169,510,745,695,782 with Prime Factorization
| 2 | 169, 510, 745, 695, 782 |
| 5 | 169, 255, 745, 695, 391 |
| 17 | 169, 51, 149, 139, 391 |
| 169, 3, 149, 139, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 169 x 3 x 149 x 139 x 23 = 41056865070
Therefore, the lowest common multiple of 169,510,745,695,782 is 41056865070.
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 510 x 745 x 695 x 782 = 34898335309500
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
745 : 1, 5, 149, 745
695 : 1, 5, 139, 695
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,510,745,695,782, is 1.
Now, the common factors can be found like this.
169:13x 13
510:2x 3x 5x 17
745:5x 149
695:5x 139
782:2x 17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 17 = 850
Therefore, the value for common factors is 850.
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 = 34898335309500/(1x850)
LCM = 34898335309500/850
LCM = 41056865070
Thus, we can understand that the LCM of 169,510,745,695,782 is 41056865070.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 169, 510, 745, 695, 782
1. What is the LCM of 169, 510, 745, 695, 782?
Answer: LCM of 169, 510, 745, 695, 782 is 41056865070.
2. How to calculate the LCM of 169, 510, 745, 695, 782?
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, 510, 745, 695, 782.
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}.