LCM of 556, 964, 105, 588, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 964, 105, 588, 654 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 556, 964, 105, 588, 654. So, keep reading to learn more.
Given numbers are 556,964,105,588,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,964,105,588,654 is 10735089540.
Find LCM of 556,964,105,588,654 with Prime Factorization
| 2 | 556, 964, 105, 588, 654 |
| 2 | 278, 482, 105, 294, 327 |
| 3 | 139, 241, 105, 147, 327 |
| 7 | 139, 241, 35, 49, 109 |
| 139, 241, 5, 7, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 139 x 241 x 5 x 7 x 109 = 10735089540
Therefore, the lowest common multiple of 556,964,105,588,654 is 10735089540.
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.
556 x 964 x 105 x 588 x 654 = 21641940512640
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.
556 : 1, 2, 4, 139, 278, 556
964 : 1, 2, 4, 241, 482, 964
105 : 1, 3, 5, 7, 15, 21, 35, 105
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,964,105,588,654, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
964:2x 2x 241
105:3x 5x 7
588:2x 2x 3x 7x 7
654:2x 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 2x 2x 2x 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 21641940512640/(1x2016)
LCM = 21641940512640/2016
LCM = 10735089540
Thus, we can understand that the LCM of 556,964,105,588,654 is 10735089540.
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FAQs on LCM of 556, 964, 105, 588, 654
1. What is the LCM of 556, 964, 105, 588, 654?
Answer: LCM of 556, 964, 105, 588, 654 is 10735089540.
2. How to calculate the LCM of 556, 964, 105, 588, 654?
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 556, 964, 105, 588, 654.
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}.