LCM of 966, 356, 138, 728, 151
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 356, 138, 728, 151 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 966, 356, 138, 728, 151. So, keep reading to learn more.
Given numbers are 966,356,138,728,151
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,356,138,728,151 is 675067848.
Find LCM of 966,356,138,728,151 with Prime Factorization
| 2 | 966, 356, 138, 728, 151 |
| 2 | 483, 178, 69, 364, 151 |
| 3 | 483, 89, 69, 182, 151 |
| 7 | 161, 89, 23, 182, 151 |
| 23 | 23, 89, 23, 26, 151 |
| 1, 89, 1, 26, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 1 x 89 x 1 x 26 x 151 = 675067848
Therefore, the lowest common multiple of 966,356,138,728,151 is 675067848.
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.
966 x 356 x 138 x 728 x 151 = 5216924329344
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
356 : 1, 2, 4, 89, 178, 356
138 : 1, 2, 3, 6, 23, 46, 69, 138
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
151 : 1, 151
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,356,138,728,151, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
356:2x 2x 89
138:2x 3x 23
728:2x 2x 2x 7x 13
151:151
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 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 5216924329344/(1x7728)
LCM = 5216924329344/7728
LCM = 675067848
Thus, we can understand that the LCM of 966,356,138,728,151 is 675067848.
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FAQs on LCM of 966, 356, 138, 728, 151
1. What is the LCM of 966, 356, 138, 728, 151?
Answer: LCM of 966, 356, 138, 728, 151 is 675067848.
2. How to calculate the LCM of 966, 356, 138, 728, 151?
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 966, 356, 138, 728, 151.
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}.