Find the LCM of 198, 127, 748, 336, 722 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 198, 127, 748, 336, 722. So, keep reading to learn more.
Given numbers are 198,127,748,336,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,127,748,336,722 is 8641976112.
Find LCM of 198,127,748,336,722 with Prime Factorization
2 | 198, 127, 748, 336, 722 |
2 | 99, 127, 374, 168, 361 |
3 | 99, 127, 187, 84, 361 |
11 | 33, 127, 187, 28, 361 |
3, 127, 17, 28, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 3 x 127 x 17 x 28 x 361 = 8641976112
Therefore, the lowest common multiple of 198,127,748,336,722 is 8641976112.
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.
198 x 127 x 748 x 336 x 722 = 4562963387136
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
127 : 1, 127
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,127,748,336,722, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
127:127
748:2x 2x 11x 17
336:2x 2x 2x 2x 3x 7
722:2x 19x 19
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 4562963387136/(1x528)
LCM = 4562963387136/528
LCM = 8641976112
Thus, we can understand that the LCM of 198,127,748,336,722 is 8641976112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 127, 748, 336, 722?
Answer: LCM of 198, 127, 748, 336, 722 is 8641976112.
2. How to calculate the LCM of 198, 127, 748, 336, 722?
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 198, 127, 748, 336, 722.
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}.