LCM of 197, 962, 962, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 962, 962, 614 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 197, 962, 962, 614. So, keep reading to learn more.
Given numbers are 197,962,962,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,962,962,614 is 58180798.
Find LCM of 197,962,962,614 with Prime Factorization
| 2 | 197, 962, 962, 614 |
| 13 | 197, 481, 481, 307 |
| 37 | 197, 37, 37, 307 |
| 197, 1, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 197 x 1 x 1 x 307 = 58180798
Therefore, the lowest common multiple of 197,962,962,614 is 58180798.
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.
197 x 962 x 962 x 614 = 111939855352
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.
197 : 1, 197
962 : 1, 2, 13, 26, 37, 74, 481, 962
962 : 1, 2, 13, 26, 37, 74, 481, 962
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,962,962,614, is 1.
Now, the common factors can be found like this.
197:197
962:2x 13x 37
962:2x 13x 37
614:2x 307
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 13x 37 = 1924
Therefore, the value for common factors is 1924.
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 = 111939855352/(1x1924)
LCM = 111939855352/1924
LCM = 58180798
Thus, we can understand that the LCM of 197,962,962,614 is 58180798.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 962, 962, 614
1. What is the LCM of 197, 962, 962, 614?
Answer: LCM of 197, 962, 962, 614 is 58180798.
2. How to calculate the LCM of 197, 962, 962, 614?
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 197, 962, 962, 614.
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}.