LCM of 392, 486, 522, 919, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 486, 522, 919, 762 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 392, 486, 522, 919, 762. So, keep reading to learn more.
Given numbers are 392,486,522,919,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,486,522,919,762 is 322410792312.
Find LCM of 392,486,522,919,762 with Prime Factorization
| 2 | 392, 486, 522, 919, 762 |
| 3 | 196, 243, 261, 919, 381 |
| 3 | 196, 81, 87, 919, 127 |
| 196, 27, 29, 919, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 196 x 27 x 29 x 919 x 127 = 322410792312
Therefore, the lowest common multiple of 392,486,522,919,762 is 322410792312.
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.
392 x 486 x 522 x 919 x 762 = 69640731139392
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
919 : 1, 919
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,486,522,919,762, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
486:2x 3x 3x 3x 3x 3
522:2x 3x 3x 29
919:919
762:2x 3x 127
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 3 = 216
Therefore, the value for common factors is 216.
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 = 69640731139392/(1x216)
LCM = 69640731139392/216
LCM = 322410792312
Thus, we can understand that the LCM of 392,486,522,919,762 is 322410792312.
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FAQs on LCM of 392, 486, 522, 919, 762
1. What is the LCM of 392, 486, 522, 919, 762?
Answer: LCM of 392, 486, 522, 919, 762 is 322410792312.
2. How to calculate the LCM of 392, 486, 522, 919, 762?
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 392, 486, 522, 919, 762.
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}.