Find the LCM of 282, 457, 681, 785, 163 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 282, 457, 681, 785, 163. So, keep reading to learn more.
Given numbers are 282,457,681,785,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,457,681,785,163 is 3743246496090.
Find LCM of 282,457,681,785,163 with Prime Factorization
3 | 282, 457, 681, 785, 163 |
94, 457, 227, 785, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 94 x 457 x 227 x 785 x 163 = 3743246496090
Therefore, the lowest common multiple of 282,457,681,785,163 is 3743246496090.
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.
282 x 457 x 681 x 785 x 163 = 11229739488270
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
457 : 1, 457
681 : 1, 3, 227, 681
785 : 1, 5, 157, 785
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,457,681,785,163, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
457:457
681:3x 227
785:5x 157
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 11229739488270/(1x3)
LCM = 11229739488270/3
LCM = 3743246496090
Thus, we can understand that the LCM of 282,457,681,785,163 is 3743246496090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 457, 681, 785, 163?
Answer: LCM of 282, 457, 681, 785, 163 is 3743246496090.
2. How to calculate the LCM of 282, 457, 681, 785, 163?
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 282, 457, 681, 785, 163.
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}.