LCM of 539, 308, 476, 643, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 308, 476, 643, 372 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, 308, 476, 643, 372. So, keep reading to learn more.
Given numbers are 539,308,476,643,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,308,476,643,372 is 2191752948.
Find LCM of 539,308,476,643,372 with Prime Factorization
| 2 | 539, 308, 476, 643, 372 |
| 2 | 539, 154, 238, 643, 186 |
| 7 | 539, 77, 119, 643, 93 |
| 11 | 11, 77, 17, 643, 93 |
| 1, 7, 17, 643, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 1 x 7 x 17 x 643 x 93 = 2191752948
Therefore, the lowest common multiple of 539,308,476,643,372 is 2191752948.
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 308 x 476 x 643 x 372 = 18901677423552
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
643 : 1, 643
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,308,476,643,372, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
308:2x 2x 7x 11
476:2x 2x 7x 17
643:643
372:2x 2x 3x 31
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 7x 7x 11 = 8624
Therefore, the value for common factors is 8624.
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 = 18901677423552/(1x8624)
LCM = 18901677423552/8624
LCM = 2191752948
Thus, we can understand that the LCM of 539,308,476,643,372 is 2191752948.
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FAQs on LCM of 539, 308, 476, 643, 372
1. What is the LCM of 539, 308, 476, 643, 372?
Answer: LCM of 539, 308, 476, 643, 372 is 2191752948.
2. How to calculate the LCM of 539, 308, 476, 643, 372?
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, 308, 476, 643, 372.
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}.