LCM of 342, 579, 261, 738, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 579, 261, 738, 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 342, 579, 261, 738, 890. So, keep reading to learn more.
Given numbers are 342,579,261,738,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,579,261,738,890 is 34924104630.
Find LCM of 342,579,261,738,890 with Prime Factorization
| 2 | 342, 579, 261, 738, 890 |
| 3 | 171, 579, 261, 369, 445 |
| 3 | 57, 193, 87, 123, 445 |
| 19, 193, 29, 41, 445 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 193 x 29 x 41 x 445 = 34924104630
Therefore, the lowest common multiple of 342,579,261,738,890 is 34924104630.
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.
342 x 579 x 261 x 738 x 890 = 33946229700360
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
579 : 1, 3, 193, 579
261 : 1, 3, 9, 29, 87, 261
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 342,579,261,738,890, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
579:3x 193
261:3x 3x 29
738:2x 3x 3x 41
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 2x 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 33946229700360/(1x972)
LCM = 33946229700360/972
LCM = 34924104630
Thus, we can understand that the LCM of 342,579,261,738,890 is 34924104630.
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FAQs on LCM of 342, 579, 261, 738, 890
1. What is the LCM of 342, 579, 261, 738, 890?
Answer: LCM of 342, 579, 261, 738, 890 is 34924104630.
2. How to calculate the LCM of 342, 579, 261, 738, 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 342, 579, 261, 738, 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}.