LCM of 431, 506, 961, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 506, 961, 539 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 431, 506, 961, 539. So, keep reading to learn more.
Given numbers are 431,506,961,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,506,961,539 is 10269451654.
Find LCM of 431,506,961,539 with Prime Factorization
| 11 | 431, 506, 961, 539 |
| 431, 46, 961, 49 |
Multiply the prime numbers at the bottom and the left side.
11 x 431 x 46 x 961 x 49 = 10269451654
Therefore, the lowest common multiple of 431,506,961,539 is 10269451654.
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.
431 x 506 x 961 x 539 = 112963968194
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.
431 : 1, 431
506 : 1, 2, 11, 22, 23, 46, 253, 506
961 : 1, 31, 961
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,506,961,539, is 1.
Now, the common factors can be found like this.
431:431
506:2x 11x 23
961:31x 31
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 112963968194/(1x11)
LCM = 112963968194/11
LCM = 10269451654
Thus, we can understand that the LCM of 431,506,961,539 is 10269451654.
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FAQs on LCM of 431, 506, 961, 539
1. What is the LCM of 431, 506, 961, 539?
Answer: LCM of 431, 506, 961, 539 is 10269451654.
2. How to calculate the LCM of 431, 506, 961, 539?
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 431, 506, 961, 539.
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}.