Find the LCM of 737, 272, 953, 704, 804 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, 272, 953, 704, 804. So, keep reading to learn more.
Given numbers are 737,272,953,704,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,272,953,704,804 is 2292506304.
Find LCM of 737,272,953,704,804 with Prime Factorization
2 | 737, 272, 953, 704, 804 |
2 | 737, 136, 953, 352, 402 |
2 | 737, 68, 953, 176, 201 |
2 | 737, 34, 953, 88, 201 |
11 | 737, 17, 953, 44, 201 |
67 | 67, 17, 953, 4, 201 |
1, 17, 953, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 67 x 1 x 17 x 953 x 4 x 3 = 2292506304
Therefore, the lowest common multiple of 737,272,953,704,804 is 2292506304.
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 272 x 953 x 704 x 804 = 108132937347072
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
953 : 1, 953
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,272,953,704,804, is 1.
Now, the common factors can be found like this.
737:11x 67
272:2x 2x 2x 2x 17
953:953
704:2x 2x 2x 2x 2x 2x 11
804:2x 2x 3x 67
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 2x 11x 67 = 47168
Therefore, the value for common factors is 47168.
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 = 108132937347072/(1x47168)
LCM = 108132937347072/47168
LCM = 2292506304
Thus, we can understand that the LCM of 737,272,953,704,804 is 2292506304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 272, 953, 704, 804?
Answer: LCM of 737, 272, 953, 704, 804 is 2292506304.
2. How to calculate the LCM of 737, 272, 953, 704, 804?
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, 272, 953, 704, 804.
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}.