LCM of 966, 446, 252, 680, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 446, 252, 680, 167 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, 446, 252, 680, 167. So, keep reading to learn more.
Given numbers are 966,446,252,680,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,446,252,680,167 is 36694302120.
Find LCM of 966,446,252,680,167 with Prime Factorization
| 2 | 966, 446, 252, 680, 167 |
| 2 | 483, 223, 126, 340, 167 |
| 3 | 483, 223, 63, 170, 167 |
| 7 | 161, 223, 21, 170, 167 |
| 23, 223, 3, 170, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 223 x 3 x 170 x 167 = 36694302120
Therefore, the lowest common multiple of 966,446,252,680,167 is 36694302120.
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 446 x 252 x 680 x 167 = 12329285512320
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
446 : 1, 2, 223, 446
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,446,252,680,167, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
446:2x 223
252:2x 2x 3x 3x 7
680:2x 2x 2x 5x 17
167:167
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 7 = 336
Therefore, the value for common factors is 336.
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 = 12329285512320/(1x336)
LCM = 12329285512320/336
LCM = 36694302120
Thus, we can understand that the LCM of 966,446,252,680,167 is 36694302120.
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FAQs on LCM of 966, 446, 252, 680, 167
1. What is the LCM of 966, 446, 252, 680, 167?
Answer: LCM of 966, 446, 252, 680, 167 is 36694302120.
2. How to calculate the LCM of 966, 446, 252, 680, 167?
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, 446, 252, 680, 167.
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}.