LCM of 903, 551, 462, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 551, 462, 252 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 903, 551, 462, 252. So, keep reading to learn more.
Given numbers are 903,551,462,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,551,462,252 is 65676996.
Find LCM of 903,551,462,252 with Prime Factorization
| 2 | 903, 551, 462, 252 |
| 3 | 903, 551, 231, 126 |
| 7 | 301, 551, 77, 42 |
| 43, 551, 11, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 43 x 551 x 11 x 6 = 65676996
Therefore, the lowest common multiple of 903,551,462,252 is 65676996.
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.
903 x 551 x 462 x 252 = 57927110472
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
551 : 1, 19, 29, 551
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,551,462,252, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
551:19x 29
462:2x 3x 7x 11
252:2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 57927110472/(1x882)
LCM = 57927110472/882
LCM = 65676996
Thus, we can understand that the LCM of 903,551,462,252 is 65676996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 903, 551, 462, 252
1. What is the LCM of 903, 551, 462, 252?
Answer: LCM of 903, 551, 462, 252 is 65676996.
2. How to calculate the LCM of 903, 551, 462, 252?
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 903, 551, 462, 252.
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}.