Find the LCM of 7, 940, 561, 893 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 7, 940, 561, 893. So, keep reading to learn more.
Given numbers are 7,940,561,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7,940,561,893 is 70136220.
Find LCM of 7,940,561,893 with Prime Factorization
47 | 7, 940, 561, 893 |
7, 20, 561, 19 |
Multiply the prime numbers at the bottom and the left side.
47 x 7 x 20 x 561 x 19 = 70136220
Therefore, the lowest common multiple of 7,940,561,893 is 70136220.
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.
7 x 940 x 561 x 893 = 3296402340
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.
7 : 1, 7
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
561 : 1, 3, 11, 17, 33, 51, 187, 561
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,940,561,893, is 1.
Now, the common factors can be found like this.
7:7
940:2x 2x 5x 47
561:3x 11x 17
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47 = 47
Therefore, the value for common factors is 47.
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 = 3296402340/(1x47)
LCM = 3296402340/47
LCM = 70136220
Thus, we can understand that the LCM of 7,940,561,893 is 70136220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7, 940, 561, 893?
Answer: LCM of 7, 940, 561, 893 is 70136220.
2. How to calculate the LCM of 7, 940, 561, 893?
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 7, 940, 561, 893.
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}.