Find the LCM of 681, 458, 762, 922 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 681, 458, 762, 922. So, keep reading to learn more.
Given numbers are 681,458,762,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,458,762,922 is 18260692206.
Find LCM of 681,458,762,922 with Prime Factorization
2 | 681, 458, 762, 922 |
3 | 681, 229, 381, 461 |
227, 229, 127, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 229 x 127 x 461 = 18260692206
Therefore, the lowest common multiple of 681,458,762,922 is 18260692206.
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.
681 x 458 x 762 x 922 = 219128306472
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.
681 : 1, 3, 227, 681
458 : 1, 2, 229, 458
762 : 1, 2, 3, 6, 127, 254, 381, 762
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,458,762,922, is 1.
Now, the common factors can be found like this.
681:3x 227
458:2x 229
762:2x 3x 127
922:2x 461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 219128306472/(1x12)
LCM = 219128306472/12
LCM = 18260692206
Thus, we can understand that the LCM of 681,458,762,922 is 18260692206.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 458, 762, 922?
Answer: LCM of 681, 458, 762, 922 is 18260692206.
2. How to calculate the LCM of 681, 458, 762, 922?
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 681, 458, 762, 922.
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}.