LCM of 823, 598, 572, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 598, 572, 580 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 823, 598, 572, 580. So, keep reading to learn more.
Given numbers are 823,598,572,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,598,572,580 is 1569971260.
Find LCM of 823,598,572,580 with Prime Factorization
| 2 | 823, 598, 572, 580 |
| 2 | 823, 299, 286, 290 |
| 13 | 823, 299, 143, 145 |
| 823, 23, 11, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 823 x 23 x 11 x 145 = 1569971260
Therefore, the lowest common multiple of 823,598,572,580 is 1569971260.
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.
823 x 598 x 572 x 580 = 163277011040
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.
823 : 1, 823
598 : 1, 2, 13, 23, 26, 46, 299, 598
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,598,572,580, is 1.
Now, the common factors can be found like this.
823:823
598:2x 13x 23
572:2x 2x 11x 13
580:2x 2x 5x 29
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 13 = 104
Therefore, the value for common factors is 104.
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 = 163277011040/(1x104)
LCM = 163277011040/104
LCM = 1569971260
Thus, we can understand that the LCM of 823,598,572,580 is 1569971260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 823, 598, 572, 580
1. What is the LCM of 823, 598, 572, 580?
Answer: LCM of 823, 598, 572, 580 is 1569971260.
2. How to calculate the LCM of 823, 598, 572, 580?
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 823, 598, 572, 580.
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}.