LCM of 306, 861, 238, 634, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 861, 238, 634, 728 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, 861, 238, 634, 728. So, keep reading to learn more.
Given numbers are 306,861,238,634,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,861,238,634,728 is 1447657848.
Find LCM of 306,861,238,634,728 with Prime Factorization
| 2 | 306, 861, 238, 634, 728 |
| 3 | 153, 861, 119, 317, 364 |
| 7 | 51, 287, 119, 317, 364 |
| 17 | 51, 41, 17, 317, 52 |
| 3, 41, 1, 317, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 3 x 41 x 1 x 317 x 52 = 1447657848
Therefore, the lowest common multiple of 306,861,238,634,728 is 1447657848.
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 861 x 238 x 634 x 728 = 28941575697216
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
238 : 1, 2, 7, 14, 17, 34, 119, 238
634 : 1, 2, 317, 634
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,861,238,634,728, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
861:3x 7x 41
238:2x 7x 17
634:2x 317
728:2x 2x 2x 7x 13
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 7x 7x 17 = 19992
Therefore, the value for common factors is 19992.
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 = 28941575697216/(1x19992)
LCM = 28941575697216/19992
LCM = 1447657848
Thus, we can understand that the LCM of 306,861,238,634,728 is 1447657848.
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FAQs on LCM of 306, 861, 238, 634, 728
1. What is the LCM of 306, 861, 238, 634, 728?
Answer: LCM of 306, 861, 238, 634, 728 is 1447657848.
2. How to calculate the LCM of 306, 861, 238, 634, 728?
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, 861, 238, 634, 728.
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}.