LCM of 274, 202, 450, 252, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 202, 450, 252, 728 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 274, 202, 450, 252, 728. So, keep reading to learn more.
Given numbers are 274,202,450,252,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,202,450,252,728 is 2266500600.
Find LCM of 274,202,450,252,728 with Prime Factorization
| 2 | 274, 202, 450, 252, 728 |
| 2 | 137, 101, 225, 126, 364 |
| 3 | 137, 101, 225, 63, 182 |
| 3 | 137, 101, 75, 21, 182 |
| 7 | 137, 101, 25, 7, 182 |
| 137, 101, 25, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 137 x 101 x 25 x 1 x 26 = 2266500600
Therefore, the lowest common multiple of 274,202,450,252,728 is 2266500600.
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.
274 x 202 x 450 x 252 x 728 = 4569265209600
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.
274 : 1, 2, 137, 274
202 : 1, 2, 101, 202
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,202,450,252,728, is 2.
Now, the common factors can be found like this.
274:2x 137
202:2x 101
450:2x 3x 3x 5x 5
252:2x 2x 3x 3x 7
728:2x 2x 2x 7x 13
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 4569265209600/(2x1008)
LCM = 4569265209600/2016
LCM = 2266500600
Thus, we can understand that the LCM of 274,202,450,252,728 is 2266500600.
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FAQs on LCM of 274, 202, 450, 252, 728
1. What is the LCM of 274, 202, 450, 252, 728?
Answer: LCM of 274, 202, 450, 252, 728 is 2266500600.
2. How to calculate the LCM of 274, 202, 450, 252, 728?
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 274, 202, 450, 252, 728.
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}.