LCM of 781, 140, 609, 505, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 140, 609, 505, 530 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 781, 140, 609, 505, 530. So, keep reading to learn more.
Given numbers are 781,140,609,505,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,140,609,505,530 is 50920840740.
Find LCM of 781,140,609,505,530 with Prime Factorization
| 2 | 781, 140, 609, 505, 530 |
| 5 | 781, 70, 609, 505, 265 |
| 7 | 781, 14, 609, 101, 53 |
| 781, 2, 87, 101, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 781 x 2 x 87 x 101 x 53 = 50920840740
Therefore, the lowest common multiple of 781,140,609,505,530 is 50920840740.
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.
781 x 140 x 609 x 505 x 530 = 17822294259000
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.
781 : 1, 11, 71, 781
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
609 : 1, 3, 7, 21, 29, 87, 203, 609
505 : 1, 5, 101, 505
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,140,609,505,530, is 1.
Now, the common factors can be found like this.
781:11x 71
140:2x 2x 5x 7
609:3x 7x 29
505:5x 101
530:2x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7 = 350
Therefore, the value for common factors is 350.
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 = 17822294259000/(1x350)
LCM = 17822294259000/350
LCM = 50920840740
Thus, we can understand that the LCM of 781,140,609,505,530 is 50920840740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 140, 609, 505, 530
1. What is the LCM of 781, 140, 609, 505, 530?
Answer: LCM of 781, 140, 609, 505, 530 is 50920840740.
2. How to calculate the LCM of 781, 140, 609, 505, 530?
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 781, 140, 609, 505, 530.
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}.