LCM of 610, 722, 770, 513, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 722, 770, 513, 306 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, 722, 770, 513, 306. So, keep reading to learn more.
Given numbers are 610,722,770,513,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,722,770,513,306 is 7782882030.
Find LCM of 610,722,770,513,306 with Prime Factorization
| 2 | 610, 722, 770, 513, 306 |
| 3 | 305, 361, 385, 513, 153 |
| 3 | 305, 361, 385, 171, 51 |
| 5 | 305, 361, 385, 57, 17 |
| 19 | 61, 361, 77, 57, 17 |
| 61, 19, 77, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 61 x 19 x 77 x 3 x 17 = 7782882030
Therefore, the lowest common multiple of 610,722,770,513,306 is 7782882030.
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 722 x 770 x 513 x 306 = 53234913085200
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
722 : 1, 2, 19, 38, 361, 722
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
513 : 1, 3, 9, 19, 27, 57, 171, 513
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,722,770,513,306, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
722:2x 19x 19
770:2x 5x 7x 11
513:3x 3x 3x 19
306:2x 3x 3x 17
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 3x 5x 19 = 6840
Therefore, the value for common factors is 6840.
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 = 53234913085200/(1x6840)
LCM = 53234913085200/6840
LCM = 7782882030
Thus, we can understand that the LCM of 610,722,770,513,306 is 7782882030.
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FAQs on LCM of 610, 722, 770, 513, 306
1. What is the LCM of 610, 722, 770, 513, 306?
Answer: LCM of 610, 722, 770, 513, 306 is 7782882030.
2. How to calculate the LCM of 610, 722, 770, 513, 306?
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, 722, 770, 513, 306.
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}.