LCM of 901, 649, 206, 843, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 649, 206, 843, 103 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 901, 649, 206, 843, 103. So, keep reading to learn more.
Given numbers are 901,649,206,843,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,649,206,843,103 is 101546341842.
Find LCM of 901,649,206,843,103 with Prime Factorization
| 103 | 901, 649, 206, 843, 103 |
| 901, 649, 2, 843, 1 |
Multiply the prime numbers at the bottom and the left side.
103 x 901 x 649 x 2 x 843 x 1 = 101546341842
Therefore, the lowest common multiple of 901,649,206,843,103 is 101546341842.
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.
901 x 649 x 206 x 843 x 103 = 10459273209726
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.
901 : 1, 17, 53, 901
649 : 1, 11, 59, 649
206 : 1, 2, 103, 206
843 : 1, 3, 281, 843
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,649,206,843,103, is 1.
Now, the common factors can be found like this.
901:17x 53
649:11x 59
206:2x 103
843:3x 281
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
103 = 103
Therefore, the value for common factors is 103.
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 = 10459273209726/(1x103)
LCM = 10459273209726/103
LCM = 101546341842
Thus, we can understand that the LCM of 901,649,206,843,103 is 101546341842.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 901, 649, 206, 843, 103
1. What is the LCM of 901, 649, 206, 843, 103?
Answer: LCM of 901, 649, 206, 843, 103 is 101546341842.
2. How to calculate the LCM of 901, 649, 206, 843, 103?
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 901, 649, 206, 843, 103.
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}.