LCM of 561, 533, 657, 598, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 533, 657, 598, 219 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, 533, 657, 598, 219. So, keep reading to learn more.
Given numbers are 561,533,657,598,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,533,657,598,219 is 3012256962.
Find LCM of 561,533,657,598,219 with Prime Factorization
| 3 | 561, 533, 657, 598, 219 |
| 13 | 187, 533, 219, 598, 73 |
| 73 | 187, 41, 219, 46, 73 |
| 187, 41, 3, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 73 x 187 x 41 x 3 x 46 x 1 = 3012256962
Therefore, the lowest common multiple of 561,533,657,598,219 is 3012256962.
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 533 x 657 x 598 x 219 = 25727686712442
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
533 : 1, 13, 41, 533
657 : 1, 3, 9, 73, 219, 657
598 : 1, 2, 13, 23, 26, 46, 299, 598
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,533,657,598,219, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
533:13x 41
657:3x 3x 73
598:2x 13x 23
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 73 = 8541
Therefore, the value for common factors is 8541.
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 = 25727686712442/(1x8541)
LCM = 25727686712442/8541
LCM = 3012256962
Thus, we can understand that the LCM of 561,533,657,598,219 is 3012256962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 533, 657, 598, 219
1. What is the LCM of 561, 533, 657, 598, 219?
Answer: LCM of 561, 533, 657, 598, 219 is 3012256962.
2. How to calculate the LCM of 561, 533, 657, 598, 219?
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, 533, 657, 598, 219.
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}.