LCM of 561, 539, 348, 448, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 539, 348, 448, 701 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 561, 539, 348, 448, 701. So, keep reading to learn more.
Given numbers are 561,539,348,448,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,539,348,448,701 is 35764728384.
Find LCM of 561,539,348,448,701 with Prime Factorization
| 2 | 561, 539, 348, 448, 701 |
| 2 | 561, 539, 174, 224, 701 |
| 3 | 561, 539, 87, 112, 701 |
| 7 | 187, 539, 29, 112, 701 |
| 11 | 187, 77, 29, 16, 701 |
| 17, 7, 29, 16, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 17 x 7 x 29 x 16 x 701 = 35764728384
Therefore, the lowest common multiple of 561,539,348,448,701 is 35764728384.
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.
561 x 539 x 348 x 448 x 701 = 33046609026816
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
539 : 1, 7, 11, 49, 77, 539
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,539,348,448,701, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
539:7x 7x 11
348:2x 2x 3x 29
448:2x 2x 2x 2x 2x 2x 7
701:701
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 33046609026816/(1x924)
LCM = 33046609026816/924
LCM = 35764728384
Thus, we can understand that the LCM of 561,539,348,448,701 is 35764728384.
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FAQs on LCM of 561, 539, 348, 448, 701
1. What is the LCM of 561, 539, 348, 448, 701?
Answer: LCM of 561, 539, 348, 448, 701 is 35764728384.
2. How to calculate the LCM of 561, 539, 348, 448, 701?
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 561, 539, 348, 448, 701.
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}.