LCM of 751, 908, 514, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 908, 514, 496 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 751, 908, 514, 496. So, keep reading to learn more.
Given numbers are 751,908,514,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,908,514,496 is 21731044144.
Find LCM of 751,908,514,496 with Prime Factorization
| 2 | 751, 908, 514, 496 |
| 2 | 751, 454, 257, 248 |
| 751, 227, 257, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 751 x 227 x 257 x 124 = 21731044144
Therefore, the lowest common multiple of 751,908,514,496 is 21731044144.
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.
751 x 908 x 514 x 496 = 173848353152
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.
751 : 1, 751
908 : 1, 2, 4, 227, 454, 908
514 : 1, 2, 257, 514
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,908,514,496, is 1.
Now, the common factors can be found like this.
751:751
908:2x 2x 227
514:2x 257
496:2x 2x 2x 2x 31
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 2 = 8
Therefore, the value for common factors is 8.
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 = 173848353152/(1x8)
LCM = 173848353152/8
LCM = 21731044144
Thus, we can understand that the LCM of 751,908,514,496 is 21731044144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 751, 908, 514, 496
1. What is the LCM of 751, 908, 514, 496?
Answer: LCM of 751, 908, 514, 496 is 21731044144.
2. How to calculate the LCM of 751, 908, 514, 496?
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 751, 908, 514, 496.
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}.