LCM of 253, 110, 275, 664, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 110, 275, 664, 168 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 253, 110, 275, 664, 168. So, keep reading to learn more.
Given numbers are 253,110,275,664,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,110,275,664,168 is 88195800.
Find LCM of 253,110,275,664,168 with Prime Factorization
| 2 | 253, 110, 275, 664, 168 |
| 2 | 253, 55, 275, 332, 84 |
| 2 | 253, 55, 275, 166, 42 |
| 5 | 253, 55, 275, 83, 21 |
| 11 | 253, 11, 55, 83, 21 |
| 23, 1, 5, 83, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 23 x 1 x 5 x 83 x 21 = 88195800
Therefore, the lowest common multiple of 253,110,275,664,168 is 88195800.
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.
253 x 110 x 275 x 664 x 168 = 853735344000
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.
253 : 1, 11, 23, 253
110 : 1, 2, 5, 10, 11, 22, 55, 110
275 : 1, 5, 11, 25, 55, 275
664 : 1, 2, 4, 8, 83, 166, 332, 664
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,110,275,664,168, is 1.
Now, the common factors can be found like this.
253:11x 23
110:2x 5x 11
275:5x 5x 11
664:2x 2x 2x 83
168:2x 2x 2x 3x 7
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 2x 2x 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 853735344000/(1x9680)
LCM = 853735344000/9680
LCM = 88195800
Thus, we can understand that the LCM of 253,110,275,664,168 is 88195800.
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FAQs on LCM of 253, 110, 275, 664, 168
1. What is the LCM of 253, 110, 275, 664, 168?
Answer: LCM of 253, 110, 275, 664, 168 is 88195800.
2. How to calculate the LCM of 253, 110, 275, 664, 168?
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 253, 110, 275, 664, 168.
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}.