LCM of 809, 140, 130, 972, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 140, 130, 972, 708 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 809, 140, 130, 972, 708. So, keep reading to learn more.
Given numbers are 809,140,130,972,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,140,130,972,708 is 21109512060.
Find LCM of 809,140,130,972,708 with Prime Factorization
| 2 | 809, 140, 130, 972, 708 |
| 2 | 809, 70, 65, 486, 354 |
| 3 | 809, 35, 65, 243, 177 |
| 5 | 809, 35, 65, 81, 59 |
| 809, 7, 13, 81, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 809 x 7 x 13 x 81 x 59 = 21109512060
Therefore, the lowest common multiple of 809,140,130,972,708 is 21109512060.
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.
809 x 140 x 130 x 972 x 708 = 10132565788800
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.
809 : 1, 809
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
130 : 1, 2, 5, 10, 13, 26, 65, 130
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,140,130,972,708, is 1.
Now, the common factors can be found like this.
809:809
140:2x 2x 5x 7
130:2x 5x 13
972:2x 2x 3x 3x 3x 3x 3
708:2x 2x 3x 59
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 10132565788800/(1x480)
LCM = 10132565788800/480
LCM = 21109512060
Thus, we can understand that the LCM of 809,140,130,972,708 is 21109512060.
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FAQs on LCM of 809, 140, 130, 972, 708
1. What is the LCM of 809, 140, 130, 972, 708?
Answer: LCM of 809, 140, 130, 972, 708 is 21109512060.
2. How to calculate the LCM of 809, 140, 130, 972, 708?
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 809, 140, 130, 972, 708.
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}.