Find the LCM of 340, 977, 946, 129 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 340, 977, 946, 129. So, keep reading to learn more.
Given numbers are 340,977,946,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,977,946,129 is 471363420.
Find LCM of 340,977,946,129 with Prime Factorization
2 | 340, 977, 946, 129 |
43 | 170, 977, 473, 129 |
170, 977, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 170 x 977 x 11 x 3 = 471363420
Therefore, the lowest common multiple of 340,977,946,129 is 471363420.
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.
340 x 977 x 946 x 129 = 40537254120
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
977 : 1, 977
946 : 1, 2, 11, 22, 43, 86, 473, 946
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,977,946,129, is 1.
Now, the common factors can be found like this.
340:2x 2x 5x 17
977:977
946:2x 11x 43
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 43 = 86
Therefore, the value for common factors is 86.
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 = 40537254120/(1x86)
LCM = 40537254120/86
LCM = 471363420
Thus, we can understand that the LCM of 340,977,946,129 is 471363420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 977, 946, 129?
Answer: LCM of 340, 977, 946, 129 is 471363420.
2. How to calculate the LCM of 340, 977, 946, 129?
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 340, 977, 946, 129.
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}.