Find the LCM of 749, 664, 197, 792, 228 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 749, 664, 197, 792, 228. So, keep reading to learn more.
Given numbers are 749,664,197,792,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,664,197,792,228 is 184291336152.
Find LCM of 749,664,197,792,228 with Prime Factorization
2 | 749, 664, 197, 792, 228 |
2 | 749, 332, 197, 396, 114 |
2 | 749, 166, 197, 198, 57 |
3 | 749, 83, 197, 99, 57 |
749, 83, 197, 33, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 749 x 83 x 197 x 33 x 19 = 184291336152
Therefore, the lowest common multiple of 749,664,197,792,228 is 184291336152.
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.
749 x 664 x 197 x 792 x 228 = 17691968270592
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.
749 : 1, 7, 107, 749
664 : 1, 2, 4, 8, 83, 166, 332, 664
197 : 1, 197
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,664,197,792,228, is 1.
Now, the common factors can be found like this.
749:7x 107
664:2x 2x 2x 83
197:197
792:2x 2x 2x 3x 3x 11
228:2x 2x 3x 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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 17691968270592/(1x96)
LCM = 17691968270592/96
LCM = 184291336152
Thus, we can understand that the LCM of 749,664,197,792,228 is 184291336152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 664, 197, 792, 228?
Answer: LCM of 749, 664, 197, 792, 228 is 184291336152.
2. How to calculate the LCM of 749, 664, 197, 792, 228?
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 749, 664, 197, 792, 228.
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}.