LCM of 273, 847, 184, 851, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 847, 184, 851, 260 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, 847, 184, 851, 260. So, keep reading to learn more.
Given numbers are 273,847,184,851,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,847,184,851,260 is 1124443320.
Find LCM of 273,847,184,851,260 with Prime Factorization
| 2 | 273, 847, 184, 851, 260 |
| 2 | 273, 847, 92, 851, 130 |
| 7 | 273, 847, 46, 851, 65 |
| 13 | 39, 121, 46, 851, 65 |
| 23 | 3, 121, 46, 851, 5 |
| 3, 121, 2, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 23 x 3 x 121 x 2 x 37 x 5 = 1124443320
Therefore, the lowest common multiple of 273,847,184,851,260 is 1124443320.
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 847 x 184 x 851 x 260 = 9413839475040
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
847 : 1, 7, 11, 77, 121, 847
184 : 1, 2, 4, 8, 23, 46, 92, 184
851 : 1, 23, 37, 851
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,847,184,851,260, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
847:7x 11x 11
184:2x 2x 2x 23
851:23x 37
260:2x 2x 5x 13
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 13x 23 = 8372
Therefore, the value for common factors is 8372.
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 = 9413839475040/(1x8372)
LCM = 9413839475040/8372
LCM = 1124443320
Thus, we can understand that the LCM of 273,847,184,851,260 is 1124443320.
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FAQs on LCM of 273, 847, 184, 851, 260
1. What is the LCM of 273, 847, 184, 851, 260?
Answer: LCM of 273, 847, 184, 851, 260 is 1124443320.
2. How to calculate the LCM of 273, 847, 184, 851, 260?
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, 847, 184, 851, 260.
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}.