LCM of 914, 512, 528, 240, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 512, 528, 240, 680 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 914, 512, 528, 240, 680. So, keep reading to learn more.
Given numbers are 914,512,528,240,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,512,528,240,680 is 656325120.
Find LCM of 914,512,528,240,680 with Prime Factorization
| 2 | 914, 512, 528, 240, 680 |
| 2 | 457, 256, 264, 120, 340 |
| 2 | 457, 128, 132, 60, 170 |
| 2 | 457, 64, 66, 30, 85 |
| 3 | 457, 32, 33, 15, 85 |
| 5 | 457, 32, 11, 5, 85 |
| 457, 32, 11, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 457 x 32 x 11 x 1 x 17 = 656325120
Therefore, the lowest common multiple of 914,512,528,240,680 is 656325120.
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.
914 x 512 x 528 x 240 x 680 = 40324615372800
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.
914 : 1, 2, 457, 914
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,512,528,240,680, is 2.
Now, the common factors can be found like this.
914:2x 457
512:2x 2x 2x 2x 2x 2x 2x 2x 2
528:2x 2x 2x 2x 3x 11
240:2x 2x 2x 2x 3x 5
680:2x 2x 2x 5x 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 2x 2x 2x 2x 2x 2x 2x 2x 3x 5 = 30720
Therefore, the value for common factors is 30720.
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 = 40324615372800/(2x30720)
LCM = 40324615372800/61440
LCM = 656325120
Thus, we can understand that the LCM of 914,512,528,240,680 is 656325120.
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FAQs on LCM of 914, 512, 528, 240, 680
1. What is the LCM of 914, 512, 528, 240, 680?
Answer: LCM of 914, 512, 528, 240, 680 is 656325120.
2. How to calculate the LCM of 914, 512, 528, 240, 680?
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 914, 512, 528, 240, 680.
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}.