Find the LCM of 411, 654, 294, 329, 977 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 411, 654, 294, 329, 977. So, keep reading to learn more.
Given numbers are 411,654,294,329,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,654,294,329,977 is 201598277538.
Find LCM of 411,654,294,329,977 with Prime Factorization
2 | 411, 654, 294, 329, 977 |
3 | 411, 327, 147, 329, 977 |
7 | 137, 109, 49, 329, 977 |
137, 109, 7, 47, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 109 x 7 x 47 x 977 = 201598277538
Therefore, the lowest common multiple of 411,654,294,329,977 is 201598277538.
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.
411 x 654 x 294 x 329 x 977 = 25401382969788
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.
411 : 1, 3, 137, 411
654 : 1, 2, 3, 6, 109, 218, 327, 654
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
329 : 1, 7, 47, 329
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,654,294,329,977, is 1.
Now, the common factors can be found like this.
411:3x 137
654:2x 3x 109
294:2x 3x 7x 7
329:7x 47
977:977
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 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 25401382969788/(1x126)
LCM = 25401382969788/126
LCM = 201598277538
Thus, we can understand that the LCM of 411,654,294,329,977 is 201598277538.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 654, 294, 329, 977?
Answer: LCM of 411, 654, 294, 329, 977 is 201598277538.
2. How to calculate the LCM of 411, 654, 294, 329, 977?
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 411, 654, 294, 329, 977.
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}.