LCM of 539, 596, 834, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 596, 834, 278 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, 596, 834, 278. So, keep reading to learn more.
Given numbers are 539,596,834,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,596,834,278 is 133958748.
Find LCM of 539,596,834,278 with Prime Factorization
| 2 | 539, 596, 834, 278 |
| 139 | 539, 298, 417, 139 |
| 539, 298, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 539 x 298 x 3 x 1 = 133958748
Therefore, the lowest common multiple of 539,596,834,278 is 133958748.
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 596 x 834 x 278 = 74481063888
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
596 : 1, 2, 4, 149, 298, 596
834 : 1, 2, 3, 6, 139, 278, 417, 834
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,596,834,278, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
596:2x 2x 149
834:2x 3x 139
278:2x 139
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 139 = 556
Therefore, the value for common factors is 556.
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 = 74481063888/(1x556)
LCM = 74481063888/556
LCM = 133958748
Thus, we can understand that the LCM of 539,596,834,278 is 133958748.
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FAQs on LCM of 539, 596, 834, 278
1. What is the LCM of 539, 596, 834, 278?
Answer: LCM of 539, 596, 834, 278 is 133958748.
2. How to calculate the LCM of 539, 596, 834, 278?
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, 596, 834, 278.
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}.