Find the LCM of 121, 409, 818, 689 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 121, 409, 818, 689. So, keep reading to learn more.
Given numbers are 121,409,818,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,409,818,689 is 68195842.
Find LCM of 121,409,818,689 with Prime Factorization
409 | 121, 409, 818, 689 |
121, 1, 2, 689 |
Multiply the prime numbers at the bottom and the left side.
409 x 121 x 1 x 2 x 689 = 68195842
Therefore, the lowest common multiple of 121,409,818,689 is 68195842.
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.
121 x 409 x 818 x 689 = 27892099378
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.
121 : 1, 11, 121
409 : 1, 409
818 : 1, 2, 409, 818
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,409,818,689, is 1.
Now, the common factors can be found like this.
121:11x 11
409:409
818:2x 409
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
409 = 409
Therefore, the value for common factors is 409.
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 = 27892099378/(1x409)
LCM = 27892099378/409
LCM = 68195842
Thus, we can understand that the LCM of 121,409,818,689 is 68195842.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 409, 818, 689?
Answer: LCM of 121, 409, 818, 689 is 68195842.
2. How to calculate the LCM of 121, 409, 818, 689?
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 121, 409, 818, 689.
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}.