Find the LCM of 991, 654, 109, 488, 341 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, 654, 109, 488, 341. So, keep reading to learn more.
Given numbers are 991,654,109,488,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,654,109,488,341 is 53925677256.
Find LCM of 991,654,109,488,341 with Prime Factorization
2 | 991, 654, 109, 488, 341 |
109 | 991, 327, 109, 244, 341 |
991, 3, 1, 244, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 991 x 3 x 1 x 244 x 341 = 53925677256
Therefore, the lowest common multiple of 991,654,109,488,341 is 53925677256.
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 654 x 109 x 488 x 341 = 11755797641808
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
109 : 1, 109
488 : 1, 2, 4, 8, 61, 122, 244, 488
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,654,109,488,341, is 1.
Now, the common factors can be found like this.
991:991
654:2x 3x 109
109:109
488:2x 2x 2x 61
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 109 = 218
Therefore, the value for common factors is 218.
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 = 11755797641808/(1x218)
LCM = 11755797641808/218
LCM = 53925677256
Thus, we can understand that the LCM of 991,654,109,488,341 is 53925677256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 654, 109, 488, 341?
Answer: LCM of 991, 654, 109, 488, 341 is 53925677256.
2. How to calculate the LCM of 991, 654, 109, 488, 341?
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, 654, 109, 488, 341.
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}.