LCM of 539, 142, 372, 286, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 142, 372, 286, 312 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, 142, 372, 286, 312. So, keep reading to learn more.
Given numbers are 539,142,372,286,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,142,372,286,312 is 370137768.
Find LCM of 539,142,372,286,312 with Prime Factorization
| 2 | 539, 142, 372, 286, 312 |
| 2 | 539, 71, 186, 143, 156 |
| 3 | 539, 71, 93, 143, 78 |
| 11 | 539, 71, 31, 143, 26 |
| 13 | 49, 71, 31, 13, 26 |
| 49, 71, 31, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 49 x 71 x 31 x 1 x 2 = 370137768
Therefore, the lowest common multiple of 539,142,372,286,312 is 370137768.
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 142 x 372 x 286 x 312 = 2540625639552
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
142 : 1, 2, 71, 142
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
286 : 1, 2, 11, 13, 22, 26, 143, 286
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,142,372,286,312, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
142:2x 71
372:2x 2x 3x 31
286:2x 11x 13
312:2x 2x 2x 3x 13
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 2x 2x 3x 11x 13 = 6864
Therefore, the value for common factors is 6864.
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 = 2540625639552/(1x6864)
LCM = 2540625639552/6864
LCM = 370137768
Thus, we can understand that the LCM of 539,142,372,286,312 is 370137768.
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FAQs on LCM of 539, 142, 372, 286, 312
1. What is the LCM of 539, 142, 372, 286, 312?
Answer: LCM of 539, 142, 372, 286, 312 is 370137768.
2. How to calculate the LCM of 539, 142, 372, 286, 312?
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, 142, 372, 286, 312.
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}.