Find the LCM of 917, 262, 491 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 917, 262, 491. So, keep reading to learn more.
Given numbers are 917,262,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,262,491 is 900494.
Find LCM of 917,262,491 with Prime Factorization
131 | 917, 262, 491 |
7, 2, 491 |
Multiply the prime numbers at the bottom and the left side.
131 x 7 x 2 x 491 = 900494
Therefore, the lowest common multiple of 917,262,491 is 900494.
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.
917 x 262 x 491 = 117964714
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.
917 : 1, 7, 131, 917
262 : 1, 2, 131, 262
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,262,491, is 1.
Now, the common factors can be found like this.
917:7x 131
262:2x 131
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 117964714/(1x131)
LCM = 117964714/131
LCM = 900494
Thus, we can understand that the LCM of 917,262,491 is 900494.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 262, 491?
Answer: LCM of 917, 262, 491 is 900494.
2. How to calculate the LCM of 917, 262, 491?
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 917, 262, 491.
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}.