Find the LCM of 676, 144, 358, 471, 462 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 676, 144, 358, 471, 462. So, keep reading to learn more.
Given numbers are 676,144,358,471,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,144,358,471,462 is 52661424816.
Find LCM of 676,144,358,471,462 with Prime Factorization
2 | 676, 144, 358, 471, 462 |
2 | 338, 72, 179, 471, 231 |
3 | 169, 36, 179, 471, 231 |
169, 12, 179, 157, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 169 x 12 x 179 x 157 x 77 = 52661424816
Therefore, the lowest common multiple of 676,144,358,471,462 is 52661424816.
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.
676 x 144 x 358 x 471 x 462 = 7583245173504
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
358 : 1, 2, 179, 358
471 : 1, 3, 157, 471
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,144,358,471,462, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
144:2x 2x 2x 2x 3x 3
358:2x 179
471:3x 157
462:2x 3x 7x 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 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 7583245173504/(1x144)
LCM = 7583245173504/144
LCM = 52661424816
Thus, we can understand that the LCM of 676,144,358,471,462 is 52661424816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 144, 358, 471, 462?
Answer: LCM of 676, 144, 358, 471, 462 is 52661424816.
2. How to calculate the LCM of 676, 144, 358, 471, 462?
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 676, 144, 358, 471, 462.
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}.