Find the LCM of 737, 540, 319, 392, 232 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 737, 540, 319, 392, 232. So, keep reading to learn more.
Given numbers are 737,540,319,392,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,540,319,392,232 is 1131059160.
Find LCM of 737,540,319,392,232 with Prime Factorization
2 | 737, 540, 319, 392, 232 |
2 | 737, 270, 319, 196, 116 |
2 | 737, 135, 319, 98, 58 |
11 | 737, 135, 319, 49, 29 |
29 | 67, 135, 29, 49, 29 |
67, 135, 1, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 29 x 67 x 135 x 1 x 49 x 1 = 1131059160
Therefore, the lowest common multiple of 737,540,319,392,232 is 1131059160.
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.
737 x 540 x 319 x 392 x 232 = 11545851905280
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.
737 : 1, 11, 67, 737
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
319 : 1, 11, 29, 319
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,540,319,392,232, is 1.
Now, the common factors can be found like this.
737:11x 67
540:2x 2x 3x 3x 3x 5
319:11x 29
392:2x 2x 2x 7x 7
232:2x 2x 2x 29
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 11x 29 = 10208
Therefore, the value for common factors is 10208.
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 = 11545851905280/(1x10208)
LCM = 11545851905280/10208
LCM = 1131059160
Thus, we can understand that the LCM of 737,540,319,392,232 is 1131059160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 540, 319, 392, 232?
Answer: LCM of 737, 540, 319, 392, 232 is 1131059160.
2. How to calculate the LCM of 737, 540, 319, 392, 232?
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 737, 540, 319, 392, 232.
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}.