Find the LCM of 477, 959, 133, 494, 518 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 477, 959, 133, 494, 518. So, keep reading to learn more.
Given numbers are 477,959,133,494,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,959,133,494,518 is 8361143154.
Find LCM of 477,959,133,494,518 with Prime Factorization
2 | 477, 959, 133, 494, 518 |
7 | 477, 959, 133, 247, 259 |
19 | 477, 137, 19, 247, 37 |
477, 137, 1, 13, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 477 x 137 x 1 x 13 x 37 = 8361143154
Therefore, the lowest common multiple of 477,959,133,494,518 is 8361143154.
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.
477 x 959 x 133 x 494 x 518 = 15568448552748
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.
477 : 1, 3, 9, 53, 159, 477
959 : 1, 7, 137, 959
133 : 1, 7, 19, 133
494 : 1, 2, 13, 19, 26, 38, 247, 494
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,959,133,494,518, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
959:7x 137
133:7x 19
494:2x 13x 19
518:2x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 19 = 1862
Therefore, the value for common factors is 1862.
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 = 15568448552748/(1x1862)
LCM = 15568448552748/1862
LCM = 8361143154
Thus, we can understand that the LCM of 477,959,133,494,518 is 8361143154.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 959, 133, 494, 518?
Answer: LCM of 477, 959, 133, 494, 518 is 8361143154.
2. How to calculate the LCM of 477, 959, 133, 494, 518?
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 477, 959, 133, 494, 518.
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}.