LCM of 966, 254, 795, 756, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 254, 795, 756, 729 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, 254, 795, 756, 729. So, keep reading to learn more.
Given numbers are 966,254,795,756,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,254,795,756,729 is 15800214780.
Find LCM of 966,254,795,756,729 with Prime Factorization
| 2 | 966, 254, 795, 756, 729 |
| 3 | 483, 127, 795, 378, 729 |
| 3 | 161, 127, 265, 126, 243 |
| 3 | 161, 127, 265, 42, 81 |
| 7 | 161, 127, 265, 14, 27 |
| 23, 127, 265, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 23 x 127 x 265 x 2 x 27 = 15800214780
Therefore, the lowest common multiple of 966,254,795,756,729 is 15800214780.
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 254 x 795 x 756 x 729 = 107504661363120
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
254 : 1, 2, 127, 254
795 : 1, 3, 5, 15, 53, 159, 265, 795
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
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,254,795,756,729, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
254:2x 127
795:3x 5x 53
756:2x 2x 3x 3x 3x 7
729:3x 3x 3x 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 3x 3x 3x 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 107504661363120/(1x6804)
LCM = 107504661363120/6804
LCM = 15800214780
Thus, we can understand that the LCM of 966,254,795,756,729 is 15800214780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 254, 795, 756, 729
1. What is the LCM of 966, 254, 795, 756, 729?
Answer: LCM of 966, 254, 795, 756, 729 is 15800214780.
2. How to calculate the LCM of 966, 254, 795, 756, 729?
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, 254, 795, 756, 729.
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}.