Find the LCM of 385, 955, 289, 573, 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 385, 955, 289, 573, 689. So, keep reading to learn more.
Given numbers are 385,955,289,573,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,955,289,573,689 is 43927088205.
Find LCM of 385,955,289,573,689 with Prime Factorization
5 | 385, 955, 289, 573, 689 |
191 | 77, 191, 289, 573, 689 |
77, 1, 289, 3, 689 |
Multiply the prime numbers at the bottom and the left side.
5 x 191 x 77 x 1 x 289 x 3 x 689 = 43927088205
Therefore, the lowest common multiple of 385,955,289,573,689 is 43927088205.
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.
385 x 955 x 289 x 573 x 689 = 41950369235775
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
955 : 1, 5, 191, 955
289 : 1, 17, 289
573 : 1, 3, 191, 573
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,955,289,573,689, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
955:5x 191
289:17x 17
573:3x 191
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.
5x 191 = 955
Therefore, the value for common factors is 955.
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 = 41950369235775/(1x955)
LCM = 41950369235775/955
LCM = 43927088205
Thus, we can understand that the LCM of 385,955,289,573,689 is 43927088205.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 385, 955, 289, 573, 689?
Answer: LCM of 385, 955, 289, 573, 689 is 43927088205.
2. How to calculate the LCM of 385, 955, 289, 573, 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 385, 955, 289, 573, 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}.