LCM of 539, 989, 611, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 989, 611, 418 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 539, 989, 611, 418. So, keep reading to learn more.
Given numbers are 539,989,611,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,989,611,418 is 12376842478.
Find LCM of 539,989,611,418 with Prime Factorization
| 11 | 539, 989, 611, 418 |
| 49, 989, 611, 38 |
Multiply the prime numbers at the bottom and the left side.
11 x 49 x 989 x 611 x 38 = 12376842478
Therefore, the lowest common multiple of 539,989,611,418 is 12376842478.
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.
539 x 989 x 611 x 418 = 136145267258
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.
539 : 1, 7, 11, 49, 77, 539
989 : 1, 23, 43, 989
611 : 1, 13, 47, 611
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,989,611,418, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
989:23x 43
611:13x 47
418:2x 11x 19
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 = 136145267258/(1x11)
LCM = 136145267258/11
LCM = 12376842478
Thus, we can understand that the LCM of 539,989,611,418 is 12376842478.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 989, 611, 418
1. What is the LCM of 539, 989, 611, 418?
Answer: LCM of 539, 989, 611, 418 is 12376842478.
2. How to calculate the LCM of 539, 989, 611, 418?
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 539, 989, 611, 418.
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}.