Find the LCM of 296, 965, 193, 971 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 296, 965, 193, 971. So, keep reading to learn more.
Given numbers are 296,965,193,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,965,193,971 is 277356440.
Find LCM of 296,965,193,971 with Prime Factorization
193 | 296, 965, 193, 971 |
296, 5, 1, 971 |
Multiply the prime numbers at the bottom and the left side.
193 x 296 x 5 x 1 x 971 = 277356440
Therefore, the lowest common multiple of 296,965,193,971 is 277356440.
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.
296 x 965 x 193 x 971 = 53529792920
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
965 : 1, 5, 193, 965
193 : 1, 193
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,965,193,971, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
965:5x 193
193:193
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
193 = 193
Therefore, the value for common factors is 193.
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 = 53529792920/(1x193)
LCM = 53529792920/193
LCM = 277356440
Thus, we can understand that the LCM of 296,965,193,971 is 277356440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 965, 193, 971?
Answer: LCM of 296, 965, 193, 971 is 277356440.
2. How to calculate the LCM of 296, 965, 193, 971?
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 296, 965, 193, 971.
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}.