LCM of 748, 680, 867, 578, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 680, 867, 578, 324 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 748, 680, 867, 578, 324. So, keep reading to learn more.
Given numbers are 748,680,867,578,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,680,867,578,324 is 10299960.
Find LCM of 748,680,867,578,324 with Prime Factorization
| 2 | 748, 680, 867, 578, 324 |
| 2 | 374, 340, 867, 289, 162 |
| 3 | 187, 170, 867, 289, 81 |
| 17 | 187, 170, 289, 289, 27 |
| 17 | 11, 10, 17, 17, 27 |
| 11, 10, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 17 x 11 x 10 x 1 x 1 x 27 = 10299960
Therefore, the lowest common multiple of 748,680,867,578,324 is 10299960.
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.
748 x 680 x 867 x 578 x 324 = 82585244079360
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
867 : 1, 3, 17, 51, 289, 867
578 : 1, 2, 17, 34, 289, 578
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,680,867,578,324, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
680:2x 2x 2x 5x 17
867:3x 17x 17
578:2x 17x 17
324:2x 2x 3x 3x 3x 3
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 17x 17x 17x 17 = 8018016
Therefore, the value for common factors is 8018016.
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 = 82585244079360/(1x8018016)
LCM = 82585244079360/8018016
LCM = 10299960
Thus, we can understand that the LCM of 748,680,867,578,324 is 10299960.
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FAQs on LCM of 748, 680, 867, 578, 324
1. What is the LCM of 748, 680, 867, 578, 324?
Answer: LCM of 748, 680, 867, 578, 324 is 10299960.
2. How to calculate the LCM of 748, 680, 867, 578, 324?
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 748, 680, 867, 578, 324.
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}.