LCM of 737, 270, 835, 730, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 270, 835, 730, 171 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, 270, 835, 730, 171. So, keep reading to learn more.
Given numbers are 737,270,835,730,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,270,835,730,171 is 46091854710.
Find LCM of 737,270,835,730,171 with Prime Factorization
| 2 | 737, 270, 835, 730, 171 |
| 3 | 737, 135, 835, 365, 171 |
| 3 | 737, 45, 835, 365, 57 |
| 5 | 737, 15, 835, 365, 19 |
| 737, 3, 167, 73, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 737 x 3 x 167 x 73 x 19 = 46091854710
Therefore, the lowest common multiple of 737,270,835,730,171 is 46091854710.
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 270 x 835 x 730 x 171 = 20741334619500
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
835 : 1, 5, 167, 835
730 : 1, 2, 5, 10, 73, 146, 365, 730
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,270,835,730,171, is 1.
Now, the common factors can be found like this.
737:11x 67
270:2x 3x 3x 3x 5
835:5x 167
730:2x 5x 73
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 20741334619500/(1x450)
LCM = 20741334619500/450
LCM = 46091854710
Thus, we can understand that the LCM of 737,270,835,730,171 is 46091854710.
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FAQs on LCM of 737, 270, 835, 730, 171
1. What is the LCM of 737, 270, 835, 730, 171?
Answer: LCM of 737, 270, 835, 730, 171 is 46091854710.
2. How to calculate the LCM of 737, 270, 835, 730, 171?
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, 270, 835, 730, 171.
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}.