LCM of 966, 842, 654, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 842, 654, 981 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, 842, 654, 981. So, keep reading to learn more.
Given numbers are 966,842,654,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,842,654,981 is 132986322.
Find LCM of 966,842,654,981 with Prime Factorization
| 2 | 966, 842, 654, 981 |
| 3 | 483, 421, 327, 981 |
| 109 | 161, 421, 109, 327 |
| 161, 421, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 161 x 421 x 1 x 3 = 132986322
Therefore, the lowest common multiple of 966,842,654,981 is 132986322.
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 842 x 654 x 981 = 521838327528
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
842 : 1, 2, 421, 842
654 : 1, 2, 3, 6, 109, 218, 327, 654
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,842,654,981, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
842:2x 421
654:2x 3x 109
981:3x 3x 109
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 109 = 3924
Therefore, the value for common factors is 3924.
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 = 521838327528/(1x3924)
LCM = 521838327528/3924
LCM = 132986322
Thus, we can understand that the LCM of 966,842,654,981 is 132986322.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 842, 654, 981
1. What is the LCM of 966, 842, 654, 981?
Answer: LCM of 966, 842, 654, 981 is 132986322.
2. How to calculate the LCM of 966, 842, 654, 981?
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, 842, 654, 981.
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}.