LCM of 101, 811, 798, 697, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 811, 798, 697, 811 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 101, 811, 798, 697, 811. So, keep reading to learn more.
Given numbers are 101,811,798,697,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,811,798,697,811 is 45559389666.
Find LCM of 101,811,798,697,811 with Prime Factorization
| 811 | 101, 811, 798, 697, 811 |
| 101, 1, 798, 697, 1 |
Multiply the prime numbers at the bottom and the left side.
811 x 101 x 1 x 798 x 697 x 1 = 45559389666
Therefore, the lowest common multiple of 101,811,798,697,811 is 45559389666.
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.
101 x 811 x 798 x 697 x 811 = 36948665019126
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.
101 : 1, 101
811 : 1, 811
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
697 : 1, 17, 41, 697
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,811,798,697,811, is 1.
Now, the common factors can be found like this.
101:101
811:811
798:2x 3x 7x 19
697:17x 41
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
811 = 811
Therefore, the value for common factors is 811.
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 = 36948665019126/(1x811)
LCM = 36948665019126/811
LCM = 45559389666
Thus, we can understand that the LCM of 101,811,798,697,811 is 45559389666.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 811, 798, 697, 811
1. What is the LCM of 101, 811, 798, 697, 811?
Answer: LCM of 101, 811, 798, 697, 811 is 45559389666.
2. How to calculate the LCM of 101, 811, 798, 697, 811?
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 101, 811, 798, 697, 811.
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}.