LCM of 466, 403, 713, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 466, 403, 713, 759 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 466, 403, 713, 759. So, keep reading to learn more.
Given numbers are 466,403,713,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,403,713,759 is 142538682.
Find LCM of 466,403,713,759 with Prime Factorization
| 23 | 466, 403, 713, 759 |
| 31 | 466, 403, 31, 33 |
| 466, 13, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
23 x 31 x 466 x 13 x 1 x 33 = 142538682
Therefore, the lowest common multiple of 466,403,713,759 is 142538682.
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.
466 x 403 x 713 x 759 = 101630080266
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.
466 : 1, 2, 233, 466
403 : 1, 13, 31, 403
713 : 1, 23, 31, 713
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,403,713,759, is 1.
Now, the common factors can be found like this.
466:2x 233
403:13x 31
713:23x 31
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 31 = 713
Therefore, the value for common factors is 713.
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 = 101630080266/(1x713)
LCM = 101630080266/713
LCM = 142538682
Thus, we can understand that the LCM of 466,403,713,759 is 142538682.
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FAQs on LCM of 466, 403, 713, 759
1. What is the LCM of 466, 403, 713, 759?
Answer: LCM of 466, 403, 713, 759 is 142538682.
2. How to calculate the LCM of 466, 403, 713, 759?
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 466, 403, 713, 759.
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}.