LCM of 153, 219, 499, 102, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 219, 499, 102, 326 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, 219, 499, 102, 326. So, keep reading to learn more.
Given numbers are 153,219,499,102,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,219,499,102,326 is 1816905906.
Find LCM of 153,219,499,102,326 with Prime Factorization
| 2 | 153, 219, 499, 102, 326 |
| 3 | 153, 219, 499, 51, 163 |
| 17 | 17, 73, 499, 51, 163 |
| 1, 73, 499, 3, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 1 x 73 x 499 x 3 x 163 = 1816905906
Therefore, the lowest common multiple of 153,219,499,102,326 is 1816905906.
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 219 x 499 x 102 x 326 = 555973207236
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
219 : 1, 3, 73, 219
499 : 1, 499
102 : 1, 2, 3, 6, 17, 34, 51, 102
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,219,499,102,326, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
219:3x 73
499:499
102:2x 3x 17
326:2x 163
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 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 555973207236/(1x306)
LCM = 555973207236/306
LCM = 1816905906
Thus, we can understand that the LCM of 153,219,499,102,326 is 1816905906.
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, 219, 499, 102, 326
1. What is the LCM of 153, 219, 499, 102, 326?
Answer: LCM of 153, 219, 499, 102, 326 is 1816905906.
2. How to calculate the LCM of 153, 219, 499, 102, 326?
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, 219, 499, 102, 326.
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}.