Find the LCM of 492, 989, 430, 501 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 492, 989, 430, 501. So, keep reading to learn more.
Given numbers are 492,989,430,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,989,430,501 is 406300980.
Find LCM of 492,989,430,501 with Prime Factorization
2 | 492, 989, 430, 501 |
3 | 246, 989, 215, 501 |
43 | 82, 989, 215, 167 |
82, 23, 5, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 82 x 23 x 5 x 167 = 406300980
Therefore, the lowest common multiple of 492,989,430,501 is 406300980.
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.
492 x 989 x 430 x 501 = 104825652840
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
989 : 1, 23, 43, 989
430 : 1, 2, 5, 10, 43, 86, 215, 430
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,989,430,501, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
989:23x 43
430:2x 5x 43
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43 = 258
Therefore, the value for common factors is 258.
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 = 104825652840/(1x258)
LCM = 104825652840/258
LCM = 406300980
Thus, we can understand that the LCM of 492,989,430,501 is 406300980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 989, 430, 501?
Answer: LCM of 492, 989, 430, 501 is 406300980.
2. How to calculate the LCM of 492, 989, 430, 501?
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 492, 989, 430, 501.
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}.