LCM of 153, 510, 565, 139, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 510, 565, 139, 109 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 153, 510, 565, 139, 109. So, keep reading to learn more.
Given numbers are 153,510,565,139,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,510,565,139,109 is 2619456390.
Find LCM of 153,510,565,139,109 with Prime Factorization
| 3 | 153, 510, 565, 139, 109 |
| 5 | 51, 170, 565, 139, 109 |
| 17 | 51, 34, 113, 139, 109 |
| 3, 2, 113, 139, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 3 x 2 x 113 x 139 x 109 = 2619456390
Therefore, the lowest common multiple of 153,510,565,139,109 is 2619456390.
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.
153 x 510 x 565 x 139 x 109 = 667961379450
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.
153 : 1, 3, 9, 17, 51, 153
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
565 : 1, 5, 113, 565
139 : 1, 139
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,510,565,139,109, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
510:2x 3x 5x 17
565:5x 113
139:139
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 667961379450/(1x255)
LCM = 667961379450/255
LCM = 2619456390
Thus, we can understand that the LCM of 153,510,565,139,109 is 2619456390.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 153, 510, 565, 139, 109
1. What is the LCM of 153, 510, 565, 139, 109?
Answer: LCM of 153, 510, 565, 139, 109 is 2619456390.
2. How to calculate the LCM of 153, 510, 565, 139, 109?
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 153, 510, 565, 139, 109.
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}.