LCM of 704, 978, 923, 506, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 978, 923, 506, 519 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 704, 978, 923, 506, 519. So, keep reading to learn more.
Given numbers are 704,978,923,506,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,978,923,506,519 is 1264320437952.
Find LCM of 704,978,923,506,519 with Prime Factorization
| 2 | 704, 978, 923, 506, 519 |
| 3 | 352, 489, 923, 253, 519 |
| 11 | 352, 163, 923, 253, 173 |
| 32, 163, 923, 23, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 32 x 163 x 923 x 23 x 173 = 1264320437952
Therefore, the lowest common multiple of 704,978,923,506,519 is 1264320437952.
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.
704 x 978 x 923 x 506 x 519 = 166890297809664
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
978 : 1, 2, 3, 6, 163, 326, 489, 978
923 : 1, 13, 71, 923
506 : 1, 2, 11, 22, 23, 46, 253, 506
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,978,923,506,519, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
978:2x 3x 163
923:13x 71
506:2x 11x 23
519:3x 173
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 11 = 132
Therefore, the value for common factors is 132.
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 = 166890297809664/(1x132)
LCM = 166890297809664/132
LCM = 1264320437952
Thus, we can understand that the LCM of 704,978,923,506,519 is 1264320437952.
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FAQs on LCM of 704, 978, 923, 506, 519
1. What is the LCM of 704, 978, 923, 506, 519?
Answer: LCM of 704, 978, 923, 506, 519 is 1264320437952.
2. How to calculate the LCM of 704, 978, 923, 506, 519?
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 704, 978, 923, 506, 519.
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}.