Find the LCM of 380, 948, 797, 543, 697 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 380, 948, 797, 543, 697. So, keep reading to learn more.
Given numbers are 380,948,797,543,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,948,797,543,697 is 9055274437740.
Find LCM of 380,948,797,543,697 with Prime Factorization
2 | 380, 948, 797, 543, 697 |
2 | 190, 474, 797, 543, 697 |
3 | 95, 237, 797, 543, 697 |
95, 79, 797, 181, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 95 x 79 x 797 x 181 x 697 = 9055274437740
Therefore, the lowest common multiple of 380,948,797,543,697 is 9055274437740.
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.
380 x 948 x 797 x 543 x 697 = 108663293252880
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
797 : 1, 797
543 : 1, 3, 181, 543
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,948,797,543,697, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
948:2x 2x 3x 79
797:797
543:3x 181
697:17x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 108663293252880/(1x12)
LCM = 108663293252880/12
LCM = 9055274437740
Thus, we can understand that the LCM of 380,948,797,543,697 is 9055274437740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 948, 797, 543, 697?
Answer: LCM of 380, 948, 797, 543, 697 is 9055274437740.
2. How to calculate the LCM of 380, 948, 797, 543, 697?
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 380, 948, 797, 543, 697.
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}.