Find the LCM of 986, 381, 542, 165, 700 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 986, 381, 542, 165, 700. So, keep reading to learn more.
Given numbers are 986,381,542,165,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,381,542,165,700 is 391951121100.
Find LCM of 986,381,542,165,700 with Prime Factorization
2 | 986, 381, 542, 165, 700 |
3 | 493, 381, 271, 165, 350 |
5 | 493, 127, 271, 55, 350 |
493, 127, 271, 11, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 493 x 127 x 271 x 11 x 70 = 391951121100
Therefore, the lowest common multiple of 986,381,542,165,700 is 391951121100.
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.
986 x 381 x 542 x 165 x 700 = 23517067266000
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
381 : 1, 3, 127, 381
542 : 1, 2, 271, 542
165 : 1, 3, 5, 11, 15, 33, 55, 165
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,381,542,165,700, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
381:3x 127
542:2x 271
165:3x 5x 11
700:2x 2x 5x 5x 7
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 5 = 60
Therefore, the value for common factors is 60.
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 = 23517067266000/(1x60)
LCM = 23517067266000/60
LCM = 391951121100
Thus, we can understand that the LCM of 986,381,542,165,700 is 391951121100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 381, 542, 165, 700?
Answer: LCM of 986, 381, 542, 165, 700 is 391951121100.
2. How to calculate the LCM of 986, 381, 542, 165, 700?
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 986, 381, 542, 165, 700.
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}.