LCM of 834, 966, 148, 363, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 966, 148, 363, 366 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 834, 966, 148, 363, 366. So, keep reading to learn more.
Given numbers are 834,966,148,363,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,966,148,363,366 is 73339653156.
Find LCM of 834,966,148,363,366 with Prime Factorization
| 2 | 834, 966, 148, 363, 366 |
| 3 | 417, 483, 74, 363, 183 |
| 139, 161, 74, 121, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 161 x 74 x 121 x 61 = 73339653156
Therefore, the lowest common multiple of 834,966,148,363,366 is 73339653156.
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.
834 x 966 x 148 x 363 x 366 = 15841365081696
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
148 : 1, 2, 4, 37, 74, 148
363 : 1, 3, 11, 33, 121, 363
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,966,148,363,366, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
966:2x 3x 7x 23
148:2x 2x 37
363:3x 11x 11
366:2x 3x 61
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 15841365081696/(1x216)
LCM = 15841365081696/216
LCM = 73339653156
Thus, we can understand that the LCM of 834,966,148,363,366 is 73339653156.
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FAQs on LCM of 834, 966, 148, 363, 366
1. What is the LCM of 834, 966, 148, 363, 366?
Answer: LCM of 834, 966, 148, 363, 366 is 73339653156.
2. How to calculate the LCM of 834, 966, 148, 363, 366?
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 834, 966, 148, 363, 366.
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}.