LCM of 444, 460, 296, 600, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 460, 296, 600, 202 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 444, 460, 296, 600, 202. So, keep reading to learn more.
Given numbers are 444,460,296,600,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,460,296,600,202 is 51570600.
Find LCM of 444,460,296,600,202 with Prime Factorization
| 2 | 444, 460, 296, 600, 202 |
| 2 | 222, 230, 148, 300, 101 |
| 2 | 111, 115, 74, 150, 101 |
| 3 | 111, 115, 37, 75, 101 |
| 5 | 37, 115, 37, 25, 101 |
| 37 | 37, 23, 37, 5, 101 |
| 1, 23, 1, 5, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 37 x 1 x 23 x 1 x 5 x 101 = 51570600
Therefore, the lowest common multiple of 444,460,296,600,202 is 51570600.
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.
444 x 460 x 296 x 600 x 202 = 7327150848000
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
296 : 1, 2, 4, 8, 37, 74, 148, 296
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
202 : 1, 2, 101, 202
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,460,296,600,202, is 2.
Now, the common factors can be found like this.
444:2x 2x 3x 37
460:2x 2x 5x 23
296:2x 2x 2x 37
600:2x 2x 2x 3x 5x 5
202:2x 101
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 2x 2x 2x 3x 5x 37 = 71040
Therefore, the value for common factors is 71040.
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 = 7327150848000/(2x71040)
LCM = 7327150848000/142080
LCM = 51570600
Thus, we can understand that the LCM of 444,460,296,600,202 is 51570600.
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FAQs on LCM of 444, 460, 296, 600, 202
1. What is the LCM of 444, 460, 296, 600, 202?
Answer: LCM of 444, 460, 296, 600, 202 is 51570600.
2. How to calculate the LCM of 444, 460, 296, 600, 202?
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 444, 460, 296, 600, 202.
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}.