LCM of 273, 174, 743, 195, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 174, 743, 195, 350 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 273, 174, 743, 195, 350. So, keep reading to learn more.
Given numbers are 273,174,743,195,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,174,743,195,350 is 294116550.
Find LCM of 273,174,743,195,350 with Prime Factorization
| 2 | 273, 174, 743, 195, 350 |
| 3 | 273, 87, 743, 195, 175 |
| 5 | 91, 29, 743, 65, 175 |
| 7 | 91, 29, 743, 13, 35 |
| 13 | 13, 29, 743, 13, 5 |
| 1, 29, 743, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 1 x 29 x 743 x 1 x 5 = 294116550
Therefore, the lowest common multiple of 273,174,743,195,350 is 294116550.
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.
273 x 174 x 743 x 195 x 350 = 2408814544500
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
174 : 1, 2, 3, 6, 29, 58, 87, 174
743 : 1, 743
195 : 1, 3, 5, 13, 15, 39, 65, 195
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,174,743,195,350, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
174:2x 3x 29
743:743
195:3x 5x 13
350:2x 5x 5x 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 3x 3x 5x 7x 13 = 8190
Therefore, the value for common factors is 8190.
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 = 2408814544500/(1x8190)
LCM = 2408814544500/8190
LCM = 294116550
Thus, we can understand that the LCM of 273,174,743,195,350 is 294116550.
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FAQs on LCM of 273, 174, 743, 195, 350
1. What is the LCM of 273, 174, 743, 195, 350?
Answer: LCM of 273, 174, 743, 195, 350 is 294116550.
2. How to calculate the LCM of 273, 174, 743, 195, 350?
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 273, 174, 743, 195, 350.
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}.