LCM of 954, 886, 756, 624, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 886, 756, 624, 174 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 954, 886, 756, 624, 174. So, keep reading to learn more.
Given numbers are 954,886,756,624,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,886,756,624,174 is 26767186992.
Find LCM of 954,886,756,624,174 with Prime Factorization
| 2 | 954, 886, 756, 624, 174 |
| 2 | 477, 443, 378, 312, 87 |
| 3 | 477, 443, 189, 156, 87 |
| 3 | 159, 443, 63, 52, 29 |
| 53, 443, 21, 52, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 443 x 21 x 52 x 29 = 26767186992
Therefore, the lowest common multiple of 954,886,756,624,174 is 26767186992.
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.
954 x 886 x 756 x 624 x 174 = 69380548683264
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
886 : 1, 2, 443, 886
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
174 : 1, 2, 3, 6, 29, 58, 87, 174
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,886,756,624,174, is 2.
Now, the common factors can be found like this.
954:2x 3x 3x 53
886:2x 443
756:2x 2x 3x 3x 3x 7
624:2x 2x 2x 2x 3x 13
174:2x 3x 29
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 3 = 1296
Therefore, the value for common factors is 1296.
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 = 69380548683264/(2x1296)
LCM = 69380548683264/2592
LCM = 26767186992
Thus, we can understand that the LCM of 954,886,756,624,174 is 26767186992.
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FAQs on LCM of 954, 886, 756, 624, 174
1. What is the LCM of 954, 886, 756, 624, 174?
Answer: LCM of 954, 886, 756, 624, 174 is 26767186992.
2. How to calculate the LCM of 954, 886, 756, 624, 174?
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 954, 886, 756, 624, 174.
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}.