LCM of 762, 848, 721, 224, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 848, 721, 224, 273 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 762, 848, 721, 224, 273. So, keep reading to learn more.
Given numbers are 762,848,721,224,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,848,721,224,273 is 6056607648.
Find LCM of 762,848,721,224,273 with Prime Factorization
| 2 | 762, 848, 721, 224, 273 |
| 2 | 381, 424, 721, 112, 273 |
| 2 | 381, 212, 721, 56, 273 |
| 2 | 381, 106, 721, 28, 273 |
| 3 | 381, 53, 721, 14, 273 |
| 7 | 127, 53, 721, 14, 91 |
| 127, 53, 103, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 127 x 53 x 103 x 2 x 13 = 6056607648
Therefore, the lowest common multiple of 762,848,721,224,273 is 6056607648.
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.
762 x 848 x 721 x 224 x 273 = 28490282376192
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
721 : 1, 7, 103, 721
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,848,721,224,273, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
848:2x 2x 2x 2x 53
721:7x 103
224:2x 2x 2x 2x 2x 7
273:3x 7x 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 2x 2x 2x 3x 7x 7 = 4704
Therefore, the value for common factors is 4704.
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 = 28490282376192/(1x4704)
LCM = 28490282376192/4704
LCM = 6056607648
Thus, we can understand that the LCM of 762,848,721,224,273 is 6056607648.
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FAQs on LCM of 762, 848, 721, 224, 273
1. What is the LCM of 762, 848, 721, 224, 273?
Answer: LCM of 762, 848, 721, 224, 273 is 6056607648.
2. How to calculate the LCM of 762, 848, 721, 224, 273?
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 762, 848, 721, 224, 273.
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}.