LCM of 706, 559, 381, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 559, 381, 500 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 706, 559, 381, 500. So, keep reading to learn more.
Given numbers are 706,559,381,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,559,381,500 is 37590793500.
Find LCM of 706,559,381,500 with Prime Factorization
| 2 | 706, 559, 381, 500 |
| 353, 559, 381, 250 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 559 x 381 x 250 = 37590793500
Therefore, the lowest common multiple of 706,559,381,500 is 37590793500.
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.
706 x 559 x 381 x 500 = 75181587000
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.
706 : 1, 2, 353, 706
559 : 1, 13, 43, 559
381 : 1, 3, 127, 381
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,559,381,500, is 1.
Now, the common factors can be found like this.
706:2x 353
559:13x 43
381:3x 127
500:2x 2x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 75181587000/(1x2)
LCM = 75181587000/2
LCM = 37590793500
Thus, we can understand that the LCM of 706,559,381,500 is 37590793500.
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FAQs on LCM of 706, 559, 381, 500
1. What is the LCM of 706, 559, 381, 500?
Answer: LCM of 706, 559, 381, 500 is 37590793500.
2. How to calculate the LCM of 706, 559, 381, 500?
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 706, 559, 381, 500.
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}.