Find the LCM of 867, 971, 385, 318, 484 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 867, 971, 385, 318, 484. So, keep reading to learn more.
Given numbers are 867,971,385,318,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,971,385,318,484 is 755836051740.
Find LCM of 867,971,385,318,484 with Prime Factorization
2 | 867, 971, 385, 318, 484 |
3 | 867, 971, 385, 159, 242 |
11 | 289, 971, 385, 53, 242 |
289, 971, 35, 53, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 289 x 971 x 35 x 53 x 22 = 755836051740
Therefore, the lowest common multiple of 867,971,385,318,484 is 755836051740.
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.
867 x 971 x 385 x 318 x 484 = 49885179414840
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.
867 : 1, 3, 17, 51, 289, 867
971 : 1, 971
385 : 1, 5, 7, 11, 35, 55, 77, 385
318 : 1, 2, 3, 6, 53, 106, 159, 318
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,971,385,318,484, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
971:971
385:5x 7x 11
318:2x 3x 53
484:2x 2x 11x 11
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 11 = 66
Therefore, the value for common factors is 66.
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 = 49885179414840/(1x66)
LCM = 49885179414840/66
LCM = 755836051740
Thus, we can understand that the LCM of 867,971,385,318,484 is 755836051740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 971, 385, 318, 484?
Answer: LCM of 867, 971, 385, 318, 484 is 755836051740.
2. How to calculate the LCM of 867, 971, 385, 318, 484?
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 867, 971, 385, 318, 484.
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}.