LCM of 444, 428, 296, 100, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 428, 296, 100, 369 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, 428, 296, 100, 369. So, keep reading to learn more.
Given numbers are 444,428,296,100,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,428,296,100,369 is 292174200.
Find LCM of 444,428,296,100,369 with Prime Factorization
| 2 | 444, 428, 296, 100, 369 |
| 2 | 222, 214, 148, 50, 369 |
| 3 | 111, 107, 74, 25, 369 |
| 37 | 37, 107, 74, 25, 123 |
| 1, 107, 2, 25, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 1 x 107 x 2 x 25 x 123 = 292174200
Therefore, the lowest common multiple of 444,428,296,100,369 is 292174200.
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 428 x 296 x 100 x 369 = 2075605516800
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
428 : 1, 2, 4, 107, 214, 428
296 : 1, 2, 4, 8, 37, 74, 148, 296
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,428,296,100,369, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
428:2x 2x 107
296:2x 2x 2x 37
100:2x 2x 5x 5
369:3x 3x 41
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 3x 37 = 7104
Therefore, the value for common factors is 7104.
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 = 2075605516800/(1x7104)
LCM = 2075605516800/7104
LCM = 292174200
Thus, we can understand that the LCM of 444,428,296,100,369 is 292174200.
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FAQs on LCM of 444, 428, 296, 100, 369
1. What is the LCM of 444, 428, 296, 100, 369?
Answer: LCM of 444, 428, 296, 100, 369 is 292174200.
2. How to calculate the LCM of 444, 428, 296, 100, 369?
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, 428, 296, 100, 369.
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}.