LCM of 586, 319, 456, 266, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 319, 456, 266, 690 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 586, 319, 456, 266, 690. So, keep reading to learn more.
Given numbers are 586,319,456,266,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,319,456,266,690 is 34309866360.
Find LCM of 586,319,456,266,690 with Prime Factorization
| 2 | 586, 319, 456, 266, 690 |
| 3 | 293, 319, 228, 133, 345 |
| 19 | 293, 319, 76, 133, 115 |
| 293, 319, 4, 7, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 293 x 319 x 4 x 7 x 115 = 34309866360
Therefore, the lowest common multiple of 586,319,456,266,690 is 34309866360.
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.
586 x 319 x 456 x 266 x 690 = 15645299060160
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.
586 : 1, 2, 293, 586
319 : 1, 11, 29, 319
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
266 : 1, 2, 7, 14, 19, 38, 133, 266
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,319,456,266,690, is 1.
Now, the common factors can be found like this.
586:2x 293
319:11x 29
456:2x 2x 2x 3x 19
266:2x 7x 19
690:2x 3x 5x 23
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 15645299060160/(1x456)
LCM = 15645299060160/456
LCM = 34309866360
Thus, we can understand that the LCM of 586,319,456,266,690 is 34309866360.
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FAQs on LCM of 586, 319, 456, 266, 690
1. What is the LCM of 586, 319, 456, 266, 690?
Answer: LCM of 586, 319, 456, 266, 690 is 34309866360.
2. How to calculate the LCM of 586, 319, 456, 266, 690?
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 586, 319, 456, 266, 690.
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}.