LCM of 966, 447, 630, 140, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 447, 630, 140, 108 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, 447, 630, 140, 108. So, keep reading to learn more.
Given numbers are 966,447,630,140,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,447,630,140,108 is 12954060.
Find LCM of 966,447,630,140,108 with Prime Factorization
| 2 | 966, 447, 630, 140, 108 |
| 2 | 483, 447, 315, 70, 54 |
| 3 | 483, 447, 315, 35, 27 |
| 3 | 161, 149, 105, 35, 9 |
| 5 | 161, 149, 35, 35, 3 |
| 7 | 161, 149, 7, 7, 3 |
| 23, 149, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 23 x 149 x 1 x 1 x 3 = 12954060
Therefore, the lowest common multiple of 966,447,630,140,108 is 12954060.
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 447 x 630 x 140 x 108 = 4113173131200
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
447 : 1, 3, 149, 447
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,447,630,140,108, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
447:3x 149
630:2x 3x 3x 5x 7
140:2x 2x 5x 7
108:2x 2x 3x 3x 3
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 3x 3x 3x 5x 7x 7 = 317520
Therefore, the value for common factors is 317520.
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 = 4113173131200/(1x317520)
LCM = 4113173131200/317520
LCM = 12954060
Thus, we can understand that the LCM of 966,447,630,140,108 is 12954060.
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FAQs on LCM of 966, 447, 630, 140, 108
1. What is the LCM of 966, 447, 630, 140, 108?
Answer: LCM of 966, 447, 630, 140, 108 is 12954060.
2. How to calculate the LCM of 966, 447, 630, 140, 108?
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, 447, 630, 140, 108.
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}.