LCM of 949, 786, 489, 807, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 786, 489, 807, 197 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 949, 786, 489, 807, 197. So, keep reading to learn more.
Given numbers are 949,786,489,807,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,786,489,807,197 is 6443099958126.
Find LCM of 949,786,489,807,197 with Prime Factorization
| 3 | 949, 786, 489, 807, 197 |
| 949, 262, 163, 269, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 949 x 262 x 163 x 269 x 197 = 6443099958126
Therefore, the lowest common multiple of 949,786,489,807,197 is 6443099958126.
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.
949 x 786 x 489 x 807 x 197 = 57987899623134
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.
949 : 1, 13, 73, 949
786 : 1, 2, 3, 6, 131, 262, 393, 786
489 : 1, 3, 163, 489
807 : 1, 3, 269, 807
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,786,489,807,197, is 1.
Now, the common factors can be found like this.
949:13x 73
786:2x 3x 131
489:3x 163
807:3x 269
197:197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 57987899623134/(1x9)
LCM = 57987899623134/9
LCM = 6443099958126
Thus, we can understand that the LCM of 949,786,489,807,197 is 6443099958126.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 949, 786, 489, 807, 197
1. What is the LCM of 949, 786, 489, 807, 197?
Answer: LCM of 949, 786, 489, 807, 197 is 6443099958126.
2. How to calculate the LCM of 949, 786, 489, 807, 197?
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 949, 786, 489, 807, 197.
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}.