LCM of 306, 639, 359, 768, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 639, 359, 768, 359 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 306, 639, 359, 768, 359. So, keep reading to learn more.
Given numbers are 306,639,359,768,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,639,359,768,359 is 998353152.
Find LCM of 306,639,359,768,359 with Prime Factorization
| 2 | 306, 639, 359, 768, 359 |
| 3 | 153, 639, 359, 384, 359 |
| 3 | 51, 213, 359, 128, 359 |
| 359 | 17, 71, 359, 128, 359 |
| 17, 71, 1, 128, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 359 x 17 x 71 x 1 x 128 x 1 = 998353152
Therefore, the lowest common multiple of 306,639,359,768,359 is 998353152.
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.
306 x 639 x 359 x 768 x 359 = 19354074204672
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
639 : 1, 3, 9, 71, 213, 639
359 : 1, 359
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,639,359,768,359, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
639:3x 3x 71
359:359
768:2x 2x 2x 2x 2x 2x 2x 2x 3
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 359 = 19386
Therefore, the value for common factors is 19386.
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 = 19354074204672/(1x19386)
LCM = 19354074204672/19386
LCM = 998353152
Thus, we can understand that the LCM of 306,639,359,768,359 is 998353152.
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FAQs on LCM of 306, 639, 359, 768, 359
1. What is the LCM of 306, 639, 359, 768, 359?
Answer: LCM of 306, 639, 359, 768, 359 is 998353152.
2. How to calculate the LCM of 306, 639, 359, 768, 359?
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 306, 639, 359, 768, 359.
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}.