Find the LCM of 318, 290, 969, 437, 861 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 318, 290, 969, 437, 861. So, keep reading to learn more.
Given numbers are 318,290,969,437,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,290,969,437,861 is 98312191530.
Find LCM of 318,290,969,437,861 with Prime Factorization
2 | 318, 290, 969, 437, 861 |
3 | 159, 145, 969, 437, 861 |
19 | 53, 145, 323, 437, 287 |
53, 145, 17, 23, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 53 x 145 x 17 x 23 x 287 = 98312191530
Therefore, the lowest common multiple of 318,290,969,437,861 is 98312191530.
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.
318 x 290 x 969 x 437 x 861 = 33622769503260
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
290 : 1, 2, 5, 10, 29, 58, 145, 290
969 : 1, 3, 17, 19, 51, 57, 323, 969
437 : 1, 19, 23, 437
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,290,969,437,861, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
290:2x 5x 29
969:3x 17x 19
437:19x 23
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 33622769503260/(1x342)
LCM = 33622769503260/342
LCM = 98312191530
Thus, we can understand that the LCM of 318,290,969,437,861 is 98312191530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 290, 969, 437, 861?
Answer: LCM of 318, 290, 969, 437, 861 is 98312191530.
2. How to calculate the LCM of 318, 290, 969, 437, 861?
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 318, 290, 969, 437, 861.
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}.