LCM of 462, 119, 274, 900, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 119, 274, 900, 579 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 462, 119, 274, 900, 579. So, keep reading to learn more.
Given numbers are 462,119,274,900,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,119,274,900,579 is 31150142100.
Find LCM of 462,119,274,900,579 with Prime Factorization
| 2 | 462, 119, 274, 900, 579 |
| 3 | 231, 119, 137, 450, 579 |
| 7 | 77, 119, 137, 150, 193 |
| 11, 17, 137, 150, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 17 x 137 x 150 x 193 = 31150142100
Therefore, the lowest common multiple of 462,119,274,900,579 is 31150142100.
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.
462 x 119 x 274 x 900 x 579 = 7849835809200
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
119 : 1, 7, 17, 119
274 : 1, 2, 137, 274
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,119,274,900,579, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
119:7x 17
274:2x 137
900:2x 2x 3x 3x 5x 5
579:3x 193
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 7849835809200/(1x252)
LCM = 7849835809200/252
LCM = 31150142100
Thus, we can understand that the LCM of 462,119,274,900,579 is 31150142100.
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FAQs on LCM of 462, 119, 274, 900, 579
1. What is the LCM of 462, 119, 274, 900, 579?
Answer: LCM of 462, 119, 274, 900, 579 is 31150142100.
2. How to calculate the LCM of 462, 119, 274, 900, 579?
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 462, 119, 274, 900, 579.
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}.