Find the LCM of 737, 406, 649, 770, 252 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, 406, 649, 770, 252. So, keep reading to learn more.
Given numbers are 737,406,649,770,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,406,649,770,252 is 1588868820.
Find LCM of 737,406,649,770,252 with Prime Factorization
2 | 737, 406, 649, 770, 252 |
7 | 737, 203, 649, 385, 126 |
11 | 737, 29, 649, 55, 18 |
67, 29, 59, 5, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 67 x 29 x 59 x 5 x 18 = 1588868820
Therefore, the lowest common multiple of 737,406,649,770,252 is 1588868820.
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 406 x 649 x 770 x 252 = 37681612935120
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
406 : 1, 2, 7, 14, 29, 58, 203, 406
649 : 1, 11, 59, 649
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,406,649,770,252, is 1.
Now, the common factors can be found like this.
737:11x 67
406:2x 7x 29
649:11x 59
770:2x 5x 7x 11
252:2x 2x 3x 3x 7
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 7x 7x 11x 11 = 23716
Therefore, the value for common factors is 23716.
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 = 37681612935120/(1x23716)
LCM = 37681612935120/23716
LCM = 1588868820
Thus, we can understand that the LCM of 737,406,649,770,252 is 1588868820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 406, 649, 770, 252?
Answer: LCM of 737, 406, 649, 770, 252 is 1588868820.
2. How to calculate the LCM of 737, 406, 649, 770, 252?
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, 406, 649, 770, 252.
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}.