LCM of 151, 962, 985, 560, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 962, 985, 560, 150 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 151, 962, 985, 560, 150. So, keep reading to learn more.
Given numbers are 151,962,985,560,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,962,985,560,150 is 120189778800.
Find LCM of 151,962,985,560,150 with Prime Factorization
| 2 | 151, 962, 985, 560, 150 |
| 5 | 151, 481, 985, 280, 75 |
| 151, 481, 197, 56, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 481 x 197 x 56 x 15 = 120189778800
Therefore, the lowest common multiple of 151,962,985,560,150 is 120189778800.
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.
151 x 962 x 985 x 560 x 150 = 12018977880000
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.
151 : 1, 151
962 : 1, 2, 13, 26, 37, 74, 481, 962
985 : 1, 5, 197, 985
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,962,985,560,150, is 1.
Now, the common factors can be found like this.
151:151
962:2x 13x 37
985:5x 197
560:2x 2x 2x 2x 5x 7
150:2x 3x 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.
2x 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 12018977880000/(1x100)
LCM = 12018977880000/100
LCM = 120189778800
Thus, we can understand that the LCM of 151,962,985,560,150 is 120189778800.
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FAQs on LCM of 151, 962, 985, 560, 150
1. What is the LCM of 151, 962, 985, 560, 150?
Answer: LCM of 151, 962, 985, 560, 150 is 120189778800.
2. How to calculate the LCM of 151, 962, 985, 560, 150?
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 151, 962, 985, 560, 150.
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}.