LCM of 168, 725, 400, 946, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 725, 400, 946, 253 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 168, 725, 400, 946, 253. So, keep reading to learn more.
Given numbers are 168,725,400,946,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,725,400,946,253 is 2650124400.
Find LCM of 168,725,400,946,253 with Prime Factorization
| 2 | 168, 725, 400, 946, 253 |
| 2 | 84, 725, 200, 473, 253 |
| 2 | 42, 725, 100, 473, 253 |
| 5 | 21, 725, 50, 473, 253 |
| 5 | 21, 145, 10, 473, 253 |
| 11 | 21, 29, 2, 473, 253 |
| 21, 29, 2, 43, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 11 x 21 x 29 x 2 x 43 x 23 = 2650124400
Therefore, the lowest common multiple of 168,725,400,946,253 is 2650124400.
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.
168 x 725 x 400 x 946 x 253 = 11660547360000
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
725 : 1, 5, 25, 29, 145, 725
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
946 : 1, 2, 11, 22, 43, 86, 473, 946
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,725,400,946,253, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
725:5x 5x 29
400:2x 2x 2x 2x 5x 5
946:2x 11x 43
253:11x 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 2x 2x 2x 5x 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 11660547360000/(1x4400)
LCM = 11660547360000/4400
LCM = 2650124400
Thus, we can understand that the LCM of 168,725,400,946,253 is 2650124400.
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FAQs on LCM of 168, 725, 400, 946, 253
1. What is the LCM of 168, 725, 400, 946, 253?
Answer: LCM of 168, 725, 400, 946, 253 is 2650124400.
2. How to calculate the LCM of 168, 725, 400, 946, 253?
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 168, 725, 400, 946, 253.
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}.