Find the LCM of 747, 658, 908, 337, 996 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 747, 658, 908, 337, 996. So, keep reading to learn more.
Given numbers are 747,658,908,337,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,658,908,337,996 is 75202494948.
Find LCM of 747,658,908,337,996 with Prime Factorization
2 | 747, 658, 908, 337, 996 |
2 | 747, 329, 454, 337, 498 |
3 | 747, 329, 227, 337, 249 |
83 | 83, 329, 227, 337, 249 |
1, 329, 227, 337, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 1 x 329 x 227 x 337 x 3 = 75202494948
Therefore, the lowest common multiple of 747,658,908,337,996 is 75202494948.
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.
747 x 658 x 908 x 337 x 996 = 149803369936416
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.
747 : 1, 3, 9, 83, 249, 747
658 : 1, 2, 7, 14, 47, 94, 329, 658
908 : 1, 2, 4, 227, 454, 908
337 : 1, 337
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,658,908,337,996, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
658:2x 7x 47
908:2x 2x 227
337:337
996:2x 2x 3x 83
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 83 = 1992
Therefore, the value for common factors is 1992.
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 = 149803369936416/(1x1992)
LCM = 149803369936416/1992
LCM = 75202494948
Thus, we can understand that the LCM of 747,658,908,337,996 is 75202494948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 658, 908, 337, 996?
Answer: LCM of 747, 658, 908, 337, 996 is 75202494948.
2. How to calculate the LCM of 747, 658, 908, 337, 996?
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 747, 658, 908, 337, 996.
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}.