Find the LCM of 770, 541, 972, 198, 682 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 770, 541, 972, 198, 682. So, keep reading to learn more.
Given numbers are 770,541,972,198,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,541,972,198,682 is 6276043620.
Find LCM of 770,541,972,198,682 with Prime Factorization
2 | 770, 541, 972, 198, 682 |
3 | 385, 541, 486, 99, 341 |
3 | 385, 541, 162, 33, 341 |
11 | 385, 541, 54, 11, 341 |
35, 541, 54, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 35 x 541 x 54 x 1 x 31 = 6276043620
Therefore, the lowest common multiple of 770,541,972,198,682 is 6276043620.
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.
770 x 541 x 972 x 198 x 682 = 54676892017440
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
541 : 1, 541
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,541,972,198,682, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
541:541
972:2x 2x 3x 3x 3x 3x 3
198:2x 3x 3x 11
682:2x 11x 31
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 2x 3x 3x 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 54676892017440/(1x8712)
LCM = 54676892017440/8712
LCM = 6276043620
Thus, we can understand that the LCM of 770,541,972,198,682 is 6276043620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 541, 972, 198, 682?
Answer: LCM of 770, 541, 972, 198, 682 is 6276043620.
2. How to calculate the LCM of 770, 541, 972, 198, 682?
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 770, 541, 972, 198, 682.
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}.