LCM of 570, 661, 245, 969, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 661, 245, 969, 890 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 570, 661, 245, 969, 890. So, keep reading to learn more.
Given numbers are 570,661,245,969,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,661,245,969,890 is 27932597490.
Find LCM of 570,661,245,969,890 with Prime Factorization
| 2 | 570, 661, 245, 969, 890 |
| 3 | 285, 661, 245, 969, 445 |
| 5 | 95, 661, 245, 323, 445 |
| 19 | 19, 661, 49, 323, 89 |
| 1, 661, 49, 17, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 1 x 661 x 49 x 17 x 89 = 27932597490
Therefore, the lowest common multiple of 570,661,245,969,890 is 27932597490.
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.
570 x 661 x 245 x 969 x 890 = 79607902846500
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
661 : 1, 661
245 : 1, 5, 7, 35, 49, 245
969 : 1, 3, 17, 19, 51, 57, 323, 969
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,661,245,969,890, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
661:661
245:5x 7x 7
969:3x 17x 19
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 19 = 2850
Therefore, the value for common factors is 2850.
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 = 79607902846500/(1x2850)
LCM = 79607902846500/2850
LCM = 27932597490
Thus, we can understand that the LCM of 570,661,245,969,890 is 27932597490.
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FAQs on LCM of 570, 661, 245, 969, 890
1. What is the LCM of 570, 661, 245, 969, 890?
Answer: LCM of 570, 661, 245, 969, 890 is 27932597490.
2. How to calculate the LCM of 570, 661, 245, 969, 890?
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 570, 661, 245, 969, 890.
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}.