LCM of 610, 671, 770, 391, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 671, 770, 391, 270 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 610, 671, 770, 391, 270. So, keep reading to learn more.
Given numbers are 610,671,770,391,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,671,770,391,270 is 495862290.
Find LCM of 610,671,770,391,270 with Prime Factorization
| 2 | 610, 671, 770, 391, 270 |
| 5 | 305, 671, 385, 391, 135 |
| 11 | 61, 671, 77, 391, 27 |
| 61 | 61, 61, 7, 391, 27 |
| 1, 1, 7, 391, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 61 x 1 x 1 x 7 x 391 x 27 = 495862290
Therefore, the lowest common multiple of 610,671,770,391,270 is 495862290.
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.
610 x 671 x 770 x 391 x 270 = 33272359659000
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
671 : 1, 11, 61, 671
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
391 : 1, 17, 23, 391
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,671,770,391,270, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
671:11x 61
770:2x 5x 7x 11
391:17x 23
270:2x 3x 3x 3x 5
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 5x 5x 11x 61 = 67100
Therefore, the value for common factors is 67100.
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 = 33272359659000/(1x67100)
LCM = 33272359659000/67100
LCM = 495862290
Thus, we can understand that the LCM of 610,671,770,391,270 is 495862290.
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FAQs on LCM of 610, 671, 770, 391, 270
1. What is the LCM of 610, 671, 770, 391, 270?
Answer: LCM of 610, 671, 770, 391, 270 is 495862290.
2. How to calculate the LCM of 610, 671, 770, 391, 270?
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 610, 671, 770, 391, 270.
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}.