Find the LCM of 362, 723, 100, 362, 139 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 362, 723, 100, 362, 139. So, keep reading to learn more.
Given numbers are 362,723,100,362,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,723,100,362,139 is 1818995700.
Find LCM of 362,723,100,362,139 with Prime Factorization
2 | 362, 723, 100, 362, 139 |
181 | 181, 723, 50, 181, 139 |
1, 723, 50, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 1 x 723 x 50 x 1 x 139 = 1818995700
Therefore, the lowest common multiple of 362,723,100,362,139 is 1818995700.
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.
362 x 723 x 100 x 362 x 139 = 1316952886800
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.
362 : 1, 2, 181, 362
723 : 1, 3, 241, 723
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
362 : 1, 2, 181, 362
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,723,100,362,139, is 1.
Now, the common factors can be found like this.
362:2x 181
723:3x 241
100:2x 2x 5x 5
362:2x 181
139:139
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 181 = 724
Therefore, the value for common factors is 724.
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 = 1316952886800/(1x724)
LCM = 1316952886800/724
LCM = 1818995700
Thus, we can understand that the LCM of 362,723,100,362,139 is 1818995700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 362, 723, 100, 362, 139?
Answer: LCM of 362, 723, 100, 362, 139 is 1818995700.
2. How to calculate the LCM of 362, 723, 100, 362, 139?
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 362, 723, 100, 362, 139.
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}.