Find the LCM of 492, 955, 955, 965, 421 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, 955, 955, 965, 421. So, keep reading to learn more.
Given numbers are 492,955,955,965,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,955,955,965,421 is 38177534580.
Find LCM of 492,955,955,965,421 with Prime Factorization
5 | 492, 955, 955, 965, 421 |
191 | 492, 191, 191, 193, 421 |
492, 1, 1, 193, 421 |
Multiply the prime numbers at the bottom and the left side.
5 x 191 x 492 x 1 x 1 x 193 x 421 = 38177534580
Therefore, the lowest common multiple of 492,955,955,965,421 is 38177534580.
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 955 x 955 x 965 x 421 = 182297727619500
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
955 : 1, 5, 191, 955
955 : 1, 5, 191, 955
965 : 1, 5, 193, 965
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,955,955,965,421, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
955:5x 191
955:5x 191
965:5x 193
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 191 = 4775
Therefore, the value for common factors is 4775.
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 = 182297727619500/(1x4775)
LCM = 182297727619500/4775
LCM = 38177534580
Thus, we can understand that the LCM of 492,955,955,965,421 is 38177534580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 955, 955, 965, 421?
Answer: LCM of 492, 955, 955, 965, 421 is 38177534580.
2. How to calculate the LCM of 492, 955, 955, 965, 421?
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, 955, 955, 965, 421.
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}.