Find the LCM of 653, 870, 561, 341 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 653, 870, 561, 341. So, keep reading to learn more.
Given numbers are 653,870,561,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,870,561,341 is 3293333670.
Find LCM of 653,870,561,341 with Prime Factorization
3 | 653, 870, 561, 341 |
11 | 653, 290, 187, 341 |
653, 290, 17, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 653 x 290 x 17 x 31 = 3293333670
Therefore, the lowest common multiple of 653,870,561,341 is 3293333670.
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.
653 x 870 x 561 x 341 = 108680011110
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.
653 : 1, 653
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
561 : 1, 3, 11, 17, 33, 51, 187, 561
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,870,561,341, is 1.
Now, the common factors can be found like this.
653:653
870:2x 3x 5x 29
561:3x 11x 17
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 108680011110/(1x33)
LCM = 108680011110/33
LCM = 3293333670
Thus, we can understand that the LCM of 653,870,561,341 is 3293333670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 870, 561, 341?
Answer: LCM of 653, 870, 561, 341 is 3293333670.
2. How to calculate the LCM of 653, 870, 561, 341?
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 653, 870, 561, 341.
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}.