LCM of 197, 776, 970, 133, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 776, 970, 133, 697 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, 776, 970, 133, 697. So, keep reading to learn more.
Given numbers are 197,776,970,133,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,776,970,133,697 is 70856936360.
Find LCM of 197,776,970,133,697 with Prime Factorization
| 2 | 197, 776, 970, 133, 697 |
| 97 | 197, 388, 485, 133, 697 |
| 197, 4, 5, 133, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 197 x 4 x 5 x 133 x 697 = 70856936360
Therefore, the lowest common multiple of 197,776,970,133,697 is 70856936360.
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 776 x 970 x 133 x 697 = 13746245653840
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
776 : 1, 2, 4, 8, 97, 194, 388, 776
970 : 1, 2, 5, 10, 97, 194, 485, 970
133 : 1, 7, 19, 133
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,776,970,133,697, is 1.
Now, the common factors can be found like this.
197:197
776:2x 2x 2x 97
970:2x 5x 97
133:7x 19
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 97 = 194
Therefore, the value for common factors is 194.
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 = 13746245653840/(1x194)
LCM = 13746245653840/194
LCM = 70856936360
Thus, we can understand that the LCM of 197,776,970,133,697 is 70856936360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 776, 970, 133, 697
1. What is the LCM of 197, 776, 970, 133, 697?
Answer: LCM of 197, 776, 970, 133, 697 is 70856936360.
2. How to calculate the LCM of 197, 776, 970, 133, 697?
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, 776, 970, 133, 697.
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}.