LCM of 737, 704, 611, 789, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 704, 611, 789, 224 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, 704, 611, 789, 224. So, keep reading to learn more.
Given numbers are 737,704,611,789,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,704,611,789,224 is 159170915904.
Find LCM of 737,704,611,789,224 with Prime Factorization
| 2 | 737, 704, 611, 789, 224 |
| 2 | 737, 352, 611, 789, 112 |
| 2 | 737, 176, 611, 789, 56 |
| 2 | 737, 88, 611, 789, 28 |
| 2 | 737, 44, 611, 789, 14 |
| 11 | 737, 22, 611, 789, 7 |
| 67, 2, 611, 789, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 67 x 2 x 611 x 789 x 7 = 159170915904
Therefore, the lowest common multiple of 737,704,611,789,224 is 159170915904.
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 704 x 611 x 789 x 224 = 56028162398208
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
611 : 1, 13, 47, 611
789 : 1, 3, 263, 789
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,704,611,789,224, is 1.
Now, the common factors can be found like this.
737:11x 67
704:2x 2x 2x 2x 2x 2x 11
611:13x 47
789:3x 263
224:2x 2x 2x 2x 2x 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 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 56028162398208/(1x352)
LCM = 56028162398208/352
LCM = 159170915904
Thus, we can understand that the LCM of 737,704,611,789,224 is 159170915904.
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FAQs on LCM of 737, 704, 611, 789, 224
1. What is the LCM of 737, 704, 611, 789, 224?
Answer: LCM of 737, 704, 611, 789, 224 is 159170915904.
2. How to calculate the LCM of 737, 704, 611, 789, 224?
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, 704, 611, 789, 224.
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}.