Find the LCM of 785, 749, 517, 198 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 785, 749, 517, 198. So, keep reading to learn more.
Given numbers are 785,749,517,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,749,517,198 is 5471602290.
Find LCM of 785,749,517,198 with Prime Factorization
11 | 785, 749, 517, 198 |
785, 749, 47, 18 |
Multiply the prime numbers at the bottom and the left side.
11 x 785 x 749 x 47 x 18 = 5471602290
Therefore, the lowest common multiple of 785,749,517,198 is 5471602290.
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.
785 x 749 x 517 x 198 = 60187625190
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.
785 : 1, 5, 157, 785
749 : 1, 7, 107, 749
517 : 1, 11, 47, 517
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,749,517,198, is 1.
Now, the common factors can be found like this.
785:5x 157
749:7x 107
517:11x 47
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 60187625190/(1x11)
LCM = 60187625190/11
LCM = 5471602290
Thus, we can understand that the LCM of 785,749,517,198 is 5471602290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 749, 517, 198?
Answer: LCM of 785, 749, 517, 198 is 5471602290.
2. How to calculate the LCM of 785, 749, 517, 198?
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 785, 749, 517, 198.
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}.