Find the LCM of 991, 247, 399, 735 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 991, 247, 399, 735. So, keep reading to learn more.
Given numbers are 991,247,399,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,247,399,735 is 179911095.
Find LCM of 991,247,399,735 with Prime Factorization
3 | 991, 247, 399, 735 |
7 | 991, 247, 133, 245 |
19 | 991, 247, 19, 35 |
991, 13, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 991 x 13 x 1 x 35 = 179911095
Therefore, the lowest common multiple of 991,247,399,735 is 179911095.
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.
991 x 247 x 399 x 735 = 71784526905
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.
991 : 1, 991
247 : 1, 13, 19, 247
399 : 1, 3, 7, 19, 21, 57, 133, 399
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,247,399,735, is 1.
Now, the common factors can be found like this.
991:991
247:13x 19
399:3x 7x 19
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19 = 399
Therefore, the value for common factors is 399.
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 = 71784526905/(1x399)
LCM = 71784526905/399
LCM = 179911095
Thus, we can understand that the LCM of 991,247,399,735 is 179911095.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 247, 399, 735?
Answer: LCM of 991, 247, 399, 735 is 179911095.
2. How to calculate the LCM of 991, 247, 399, 735?
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 991, 247, 399, 735.
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}.