LCM of 318, 942, 308, 768, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 942, 308, 768, 539 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 318, 942, 308, 768, 539. So, keep reading to learn more.
Given numbers are 318,942,308,768,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,942,308,768,539 is 3444494592.
Find LCM of 318,942,308,768,539 with Prime Factorization
| 2 | 318, 942, 308, 768, 539 |
| 2 | 159, 471, 154, 384, 539 |
| 3 | 159, 471, 77, 192, 539 |
| 7 | 53, 157, 77, 64, 539 |
| 11 | 53, 157, 11, 64, 77 |
| 53, 157, 1, 64, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 53 x 157 x 1 x 64 x 7 = 3444494592
Therefore, the lowest common multiple of 318,942,308,768,539 is 3444494592.
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.
318 x 942 x 308 x 768 x 539 = 38192556036096
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
942 : 1, 2, 3, 6, 157, 314, 471, 942
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,942,308,768,539, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
942:2x 3x 157
308:2x 2x 7x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
539:7x 7x 11
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 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 38192556036096/(1x11088)
LCM = 38192556036096/11088
LCM = 3444494592
Thus, we can understand that the LCM of 318,942,308,768,539 is 3444494592.
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FAQs on LCM of 318, 942, 308, 768, 539
1. What is the LCM of 318, 942, 308, 768, 539?
Answer: LCM of 318, 942, 308, 768, 539 is 3444494592.
2. How to calculate the LCM of 318, 942, 308, 768, 539?
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 318, 942, 308, 768, 539.
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}.