LCM of 680, 460, 972, 878, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 460, 972, 878, 780 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 680, 460, 972, 878, 780. So, keep reading to learn more.
Given numbers are 680,460,972,878,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,460,972,878,780 is 21689567640.
Find LCM of 680,460,972,878,780 with Prime Factorization
| 2 | 680, 460, 972, 878, 780 |
| 2 | 340, 230, 486, 439, 390 |
| 3 | 170, 115, 243, 439, 195 |
| 5 | 170, 115, 81, 439, 65 |
| 34, 23, 81, 439, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 34 x 23 x 81 x 439 x 13 = 21689567640
Therefore, the lowest common multiple of 680,460,972,878,780 is 21689567640.
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.
680 x 460 x 972 x 878 x 780 = 208219849344000
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
878 : 1, 2, 439, 878
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,460,972,878,780, is 2.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
460:2x 2x 5x 23
972:2x 2x 3x 3x 3x 3x 3
878:2x 439
780:2x 2x 3x 5x 13
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 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 208219849344000/(2x4800)
LCM = 208219849344000/9600
LCM = 21689567640
Thus, we can understand that the LCM of 680,460,972,878,780 is 21689567640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 680, 460, 972, 878, 780
1. What is the LCM of 680, 460, 972, 878, 780?
Answer: LCM of 680, 460, 972, 878, 780 is 21689567640.
2. How to calculate the LCM of 680, 460, 972, 878, 780?
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 680, 460, 972, 878, 780.
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}.