Find the LCM of 182, 862, 420, 721 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 182, 862, 420, 721. So, keep reading to learn more.
Given numbers are 182,862,420,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,862,420,721 is 242385780.
Find LCM of 182,862,420,721 with Prime Factorization
2 | 182, 862, 420, 721 |
7 | 91, 431, 210, 721 |
13, 431, 30, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 431 x 30 x 103 = 242385780
Therefore, the lowest common multiple of 182,862,420,721 is 242385780.
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.
182 x 862 x 420 x 721 = 47507612880
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
862 : 1, 2, 431, 862
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,862,420,721, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
862:2x 431
420:2x 2x 3x 5x 7
721:7x 103
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 47507612880/(1x196)
LCM = 47507612880/196
LCM = 242385780
Thus, we can understand that the LCM of 182,862,420,721 is 242385780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 182, 862, 420, 721?
Answer: LCM of 182, 862, 420, 721 is 242385780.
2. How to calculate the LCM of 182, 862, 420, 721?
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 182, 862, 420, 721.
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}.