Find the LCM of 737, 340, 952, 442, 338 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, 340, 952, 442, 338. So, keep reading to learn more.
Given numbers are 737,340,952,442,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,340,952,442,338 is 592872280.
Find LCM of 737,340,952,442,338 with Prime Factorization
2 | 737, 340, 952, 442, 338 |
2 | 737, 170, 476, 221, 169 |
13 | 737, 85, 238, 221, 169 |
17 | 737, 85, 238, 17, 13 |
737, 5, 14, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 737 x 5 x 14 x 1 x 13 = 592872280
Therefore, the lowest common multiple of 737,340,952,442,338 is 592872280.
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 340 x 952 x 442 x 338 = 35638738495360
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
442 : 1, 2, 13, 17, 26, 34, 221, 442
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,340,952,442,338, is 1.
Now, the common factors can be found like this.
737:11x 67
340:2x 2x 5x 17
952:2x 2x 2x 7x 17
442:2x 13x 17
338:2x 13x 13
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 13x 17x 17 = 60112
Therefore, the value for common factors is 60112.
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 = 35638738495360/(1x60112)
LCM = 35638738495360/60112
LCM = 592872280
Thus, we can understand that the LCM of 737,340,952,442,338 is 592872280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 340, 952, 442, 338?
Answer: LCM of 737, 340, 952, 442, 338 is 592872280.
2. How to calculate the LCM of 737, 340, 952, 442, 338?
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, 340, 952, 442, 338.
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}.