LCM of 966, 621, 479, 322, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 621, 479, 322, 110 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, 621, 479, 322, 110. So, keep reading to learn more.
Given numbers are 966,621,479,322,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,621,479,322,110 is 229043430.
Find LCM of 966,621,479,322,110 with Prime Factorization
| 2 | 966, 621, 479, 322, 110 |
| 3 | 483, 621, 479, 161, 55 |
| 7 | 161, 207, 479, 161, 55 |
| 23 | 23, 207, 479, 23, 55 |
| 1, 9, 479, 1, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 1 x 9 x 479 x 1 x 55 = 229043430
Therefore, the lowest common multiple of 966,621,479,322,110 is 229043430.
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 621 x 479 x 322 x 110 = 10177773855480
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
621 : 1, 3, 9, 23, 27, 69, 207, 621
479 : 1, 479
322 : 1, 2, 7, 14, 23, 46, 161, 322
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,621,479,322,110, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
621:3x 3x 3x 23
479:479
322:2x 7x 23
110:2x 5x 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 2x 3x 7x 23x 23 = 44436
Therefore, the value for common factors is 44436.
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 = 10177773855480/(1x44436)
LCM = 10177773855480/44436
LCM = 229043430
Thus, we can understand that the LCM of 966,621,479,322,110 is 229043430.
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FAQs on LCM of 966, 621, 479, 322, 110
1. What is the LCM of 966, 621, 479, 322, 110?
Answer: LCM of 966, 621, 479, 322, 110 is 229043430.
2. How to calculate the LCM of 966, 621, 479, 322, 110?
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, 621, 479, 322, 110.
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}.