LCM of 301, 308, 961, 966, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 308, 961, 966, 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 301, 308, 961, 966, 539. So, keep reading to learn more.
Given numbers are 301,308,961,966,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,308,961,966,539 is 6147374772.
Find LCM of 301,308,961,966,539 with Prime Factorization
| 2 | 301, 308, 961, 966, 539 |
| 7 | 301, 154, 961, 483, 539 |
| 11 | 43, 22, 961, 69, 77 |
| 43, 2, 961, 69, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 43 x 2 x 961 x 69 x 7 = 6147374772
Therefore, the lowest common multiple of 301,308,961,966,539 is 6147374772.
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.
301 x 308 x 961 x 966 x 539 = 46388090029512
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.
301 : 1, 7, 43, 301
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
961 : 1, 31, 961
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 301,308,961,966,539, is 1.
Now, the common factors can be found like this.
301:7x 43
308:2x 2x 7x 11
961:31x 31
966:2x 3x 7x 23
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 7x 7x 7x 11 = 7546
Therefore, the value for common factors is 7546.
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 = 46388090029512/(1x7546)
LCM = 46388090029512/7546
LCM = 6147374772
Thus, we can understand that the LCM of 301,308,961,966,539 is 6147374772.
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FAQs on LCM of 301, 308, 961, 966, 539
1. What is the LCM of 301, 308, 961, 966, 539?
Answer: LCM of 301, 308, 961, 966, 539 is 6147374772.
2. How to calculate the LCM of 301, 308, 961, 966, 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 301, 308, 961, 966, 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}.