LCM of 396, 748, 554, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 748, 554, 882 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 396, 748, 554, 882. So, keep reading to learn more.
Given numbers are 396,748,554,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,748,554,882 is 91373436.
Find LCM of 396,748,554,882 with Prime Factorization
| 2 | 396, 748, 554, 882 |
| 2 | 198, 374, 277, 441 |
| 3 | 99, 187, 277, 441 |
| 3 | 33, 187, 277, 147 |
| 11 | 11, 187, 277, 49 |
| 1, 17, 277, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 1 x 17 x 277 x 49 = 91373436
Therefore, the lowest common multiple of 396,748,554,882 is 91373436.
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.
396 x 748 x 554 x 882 = 144735522624
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
554 : 1, 2, 277, 554
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,748,554,882, is 2.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
748:2x 2x 11x 17
554:2x 277
882:2x 3x 3x 7x 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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 144735522624/(2x792)
LCM = 144735522624/1584
LCM = 91373436
Thus, we can understand that the LCM of 396,748,554,882 is 91373436.
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FAQs on LCM of 396, 748, 554, 882
1. What is the LCM of 396, 748, 554, 882?
Answer: LCM of 396, 748, 554, 882 is 91373436.
2. How to calculate the LCM of 396, 748, 554, 882?
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 396, 748, 554, 882.
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}.