LCM of 849, 556, 941, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 556, 941, 774 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 849, 556, 941, 774. So, keep reading to learn more.
Given numbers are 849,556,941,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,556,941,774 is 57300949116.
Find LCM of 849,556,941,774 with Prime Factorization
| 2 | 849, 556, 941, 774 |
| 3 | 849, 278, 941, 387 |
| 283, 278, 941, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 278 x 941 x 129 = 57300949116
Therefore, the lowest common multiple of 849,556,941,774 is 57300949116.
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.
849 x 556 x 941 x 774 = 343805694696
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.
849 : 1, 3, 283, 849
556 : 1, 2, 4, 139, 278, 556
941 : 1, 941
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,556,941,774, is 1.
Now, the common factors can be found like this.
849:3x 283
556:2x 2x 139
941:941
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 343805694696/(1x6)
LCM = 343805694696/6
LCM = 57300949116
Thus, we can understand that the LCM of 849,556,941,774 is 57300949116.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 849, 556, 941, 774
1. What is the LCM of 849, 556, 941, 774?
Answer: LCM of 849, 556, 941, 774 is 57300949116.
2. How to calculate the LCM of 849, 556, 941, 774?
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 849, 556, 941, 774.
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}.