LCM of 173, 611, 409, 517, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 611, 409, 517, 264 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 173, 611, 409, 517, 264. So, keep reading to learn more.
Given numbers are 173,611,409,517,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,611,409,517,264 is 11413387128.
Find LCM of 173,611,409,517,264 with Prime Factorization
| 11 | 173, 611, 409, 517, 264 |
| 47 | 173, 611, 409, 47, 24 |
| 173, 13, 409, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 173 x 13 x 409 x 1 x 24 = 11413387128
Therefore, the lowest common multiple of 173,611,409,517,264 is 11413387128.
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.
173 x 611 x 409 x 517 x 264 = 5900721145176
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.
173 : 1, 173
611 : 1, 13, 47, 611
409 : 1, 409
517 : 1, 11, 47, 517
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,611,409,517,264, is 1.
Now, the common factors can be found like this.
173:173
611:13x 47
409:409
517:11x 47
264:2x 2x 2x 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.
11x 47 = 517
Therefore, the value for common factors is 517.
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 = 5900721145176/(1x517)
LCM = 5900721145176/517
LCM = 11413387128
Thus, we can understand that the LCM of 173,611,409,517,264 is 11413387128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 611, 409, 517, 264
1. What is the LCM of 173, 611, 409, 517, 264?
Answer: LCM of 173, 611, 409, 517, 264 is 11413387128.
2. How to calculate the LCM of 173, 611, 409, 517, 264?
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 173, 611, 409, 517, 264.
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}.