LCM of 654, 556, 588, 739, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 556, 588, 739, 819 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 654, 556, 588, 739, 819. So, keep reading to learn more.
Given numbers are 654,556,588,739,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,556,588,739,819 is 256760178948.
Find LCM of 654,556,588,739,819 with Prime Factorization
| 2 | 654, 556, 588, 739, 819 |
| 2 | 327, 278, 294, 739, 819 |
| 3 | 327, 139, 147, 739, 819 |
| 7 | 109, 139, 49, 739, 273 |
| 109, 139, 7, 739, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 109 x 139 x 7 x 739 x 39 = 256760178948
Therefore, the lowest common multiple of 654,556,588,739,819 is 256760178948.
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.
654 x 556 x 588 x 739 x 819 = 129407130189792
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
556 : 1, 2, 4, 139, 278, 556
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
739 : 1, 739
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,556,588,739,819, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
556:2x 2x 139
588:2x 2x 3x 7x 7
739:739
819:3x 3x 7x 13
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 129407130189792/(1x504)
LCM = 129407130189792/504
LCM = 256760178948
Thus, we can understand that the LCM of 654,556,588,739,819 is 256760178948.
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FAQs on LCM of 654, 556, 588, 739, 819
1. What is the LCM of 654, 556, 588, 739, 819?
Answer: LCM of 654, 556, 588, 739, 819 is 256760178948.
2. How to calculate the LCM of 654, 556, 588, 739, 819?
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 654, 556, 588, 739, 819.
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}.