Find the LCM of 461, 370, 961, 856, 677 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 461, 370, 961, 856, 677. So, keep reading to learn more.
Given numbers are 461,370,961,856,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,370,961,856,677 is 47496157364120.
Find LCM of 461,370,961,856,677 with Prime Factorization
2 | 461, 370, 961, 856, 677 |
461, 185, 961, 428, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 461 x 185 x 961 x 428 x 677 = 47496157364120
Therefore, the lowest common multiple of 461,370,961,856,677 is 47496157364120.
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.
461 x 370 x 961 x 856 x 677 = 94992314728240
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.
461 : 1, 461
370 : 1, 2, 5, 10, 37, 74, 185, 370
961 : 1, 31, 961
856 : 1, 2, 4, 8, 107, 214, 428, 856
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,370,961,856,677, is 1.
Now, the common factors can be found like this.
461:461
370:2x 5x 37
961:31x 31
856:2x 2x 2x 107
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 94992314728240/(1x2)
LCM = 94992314728240/2
LCM = 47496157364120
Thus, we can understand that the LCM of 461,370,961,856,677 is 47496157364120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 370, 961, 856, 677?
Answer: LCM of 461, 370, 961, 856, 677 is 47496157364120.
2. How to calculate the LCM of 461, 370, 961, 856, 677?
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 461, 370, 961, 856, 677.
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}.