LCM of 958, 786, 332, 498, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 786, 332, 498, 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 958, 786, 332, 498, 252. So, keep reading to learn more.
Given numbers are 958,786,332,498,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,786,332,498,252 is 1312458084.
Find LCM of 958,786,332,498,252 with Prime Factorization
| 2 | 958, 786, 332, 498, 252 |
| 2 | 479, 393, 166, 249, 126 |
| 3 | 479, 393, 83, 249, 63 |
| 83 | 479, 131, 83, 83, 21 |
| 479, 131, 1, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 479 x 131 x 1 x 1 x 21 = 1312458084
Therefore, the lowest common multiple of 958,786,332,498,252 is 1312458084.
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.
958 x 786 x 332 x 498 x 252 = 31372998039936
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.
958 : 1, 2, 479, 958
786 : 1, 2, 3, 6, 131, 262, 393, 786
332 : 1, 2, 4, 83, 166, 332
498 : 1, 2, 3, 6, 83, 166, 249, 498
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,786,332,498,252, is 2.
Now, the common factors can be found like this.
958:2x 479
786:2x 3x 131
332:2x 2x 83
498:2x 3x 83
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 2x 2x 2x 3x 3x 83 = 11952
Therefore, the value for common factors is 11952.
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 = 31372998039936/(2x11952)
LCM = 31372998039936/23904
LCM = 1312458084
Thus, we can understand that the LCM of 958,786,332,498,252 is 1312458084.
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FAQs on LCM of 958, 786, 332, 498, 252
1. What is the LCM of 958, 786, 332, 498, 252?
Answer: LCM of 958, 786, 332, 498, 252 is 1312458084.
2. How to calculate the LCM of 958, 786, 332, 498, 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 958, 786, 332, 498, 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}.