LCM of 751, 284, 463, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 284, 463, 710 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, 284, 463, 710. So, keep reading to learn more.
Given numbers are 751,284,463,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,284,463,710 is 493752460.
Find LCM of 751,284,463,710 with Prime Factorization
| 2 | 751, 284, 463, 710 |
| 71 | 751, 142, 463, 355 |
| 751, 2, 463, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 751 x 2 x 463 x 5 = 493752460
Therefore, the lowest common multiple of 751,284,463,710 is 493752460.
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 284 x 463 x 710 = 70112849320
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
284 : 1, 2, 4, 71, 142, 284
463 : 1, 463
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,284,463,710, is 1.
Now, the common factors can be found like this.
751:751
284:2x 2x 71
463:463
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 70112849320/(1x142)
LCM = 70112849320/142
LCM = 493752460
Thus, we can understand that the LCM of 751,284,463,710 is 493752460.
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FAQs on LCM of 751, 284, 463, 710
1. What is the LCM of 751, 284, 463, 710?
Answer: LCM of 751, 284, 463, 710 is 493752460.
2. How to calculate the LCM of 751, 284, 463, 710?
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, 284, 463, 710.
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}.