Find the LCM of 698, 927, 938, 446, 109 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 698, 927, 938, 446, 109. So, keep reading to learn more.
Given numbers are 698,927,938,446,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,927,938,446,109 is 7376313400218.
Find LCM of 698,927,938,446,109 with Prime Factorization
2 | 698, 927, 938, 446, 109 |
349, 927, 469, 223, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 349 x 927 x 469 x 223 x 109 = 7376313400218
Therefore, the lowest common multiple of 698,927,938,446,109 is 7376313400218.
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.
698 x 927 x 938 x 446 x 109 = 29505253600872
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.
698 : 1, 2, 349, 698
927 : 1, 3, 9, 103, 309, 927
938 : 1, 2, 7, 14, 67, 134, 469, 938
446 : 1, 2, 223, 446
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,927,938,446,109, is 1.
Now, the common factors can be found like this.
698:2x 349
927:3x 3x 103
938:2x 7x 67
446:2x 223
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 29505253600872/(1x4)
LCM = 29505253600872/4
LCM = 7376313400218
Thus, we can understand that the LCM of 698,927,938,446,109 is 7376313400218.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 927, 938, 446, 109?
Answer: LCM of 698, 927, 938, 446, 109 is 7376313400218.
2. How to calculate the LCM of 698, 927, 938, 446, 109?
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 698, 927, 938, 446, 109.
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}.