LCM of 647, 654, 545, 560, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 654, 545, 560, 476 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 647, 654, 545, 560, 476. So, keep reading to learn more.
Given numbers are 647,654,545,560,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,654,545,560,476 is 2014136880.
Find LCM of 647,654,545,560,476 with Prime Factorization
| 2 | 647, 654, 545, 560, 476 |
| 2 | 647, 327, 545, 280, 238 |
| 5 | 647, 327, 545, 140, 119 |
| 7 | 647, 327, 109, 28, 119 |
| 109 | 647, 327, 109, 4, 17 |
| 647, 3, 1, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 109 x 647 x 3 x 1 x 4 x 17 = 2014136880
Therefore, the lowest common multiple of 647,654,545,560,476 is 2014136880.
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.
647 x 654 x 545 x 560 x 476 = 61471457577600
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.
647 : 1, 647
654 : 1, 2, 3, 6, 109, 218, 327, 654
545 : 1, 5, 109, 545
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,654,545,560,476, is 1.
Now, the common factors can be found like this.
647:647
654:2x 3x 109
545:5x 109
560:2x 2x 2x 2x 5x 7
476:2x 2x 7x 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 5x 7x 109 = 30520
Therefore, the value for common factors is 30520.
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 = 61471457577600/(1x30520)
LCM = 61471457577600/30520
LCM = 2014136880
Thus, we can understand that the LCM of 647,654,545,560,476 is 2014136880.
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FAQs on LCM of 647, 654, 545, 560, 476
1. What is the LCM of 647, 654, 545, 560, 476?
Answer: LCM of 647, 654, 545, 560, 476 is 2014136880.
2. How to calculate the LCM of 647, 654, 545, 560, 476?
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 647, 654, 545, 560, 476.
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}.