LCM of 784, 280, 672, 737, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 280, 672, 737, 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 784, 280, 672, 737, 680. So, keep reading to learn more.
Given numbers are 784,280,672,737,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,280,672,737,680 is 294682080.
Find LCM of 784,280,672,737,680 with Prime Factorization
| 2 | 784, 280, 672, 737, 680 |
| 2 | 392, 140, 336, 737, 340 |
| 2 | 196, 70, 168, 737, 170 |
| 2 | 98, 35, 84, 737, 85 |
| 5 | 49, 35, 42, 737, 85 |
| 7 | 49, 7, 42, 737, 17 |
| 1, 7, 6, 737, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 1 x 7 x 6 x 737 x 17 = 294682080
Therefore, the lowest common multiple of 784,280,672,737,680 is 294682080.
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.
784 x 280 x 672 x 737 x 680 = 73929840230400
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
737 : 1, 11, 67, 737
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,280,672,737,680, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
280:2x 2x 2x 5x 7
672:2x 2x 2x 2x 2x 3x 7
737:11x 67
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 5x 7x 7 = 250880
Therefore, the value for common factors is 250880.
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 = 73929840230400/(1x250880)
LCM = 73929840230400/250880
LCM = 294682080
Thus, we can understand that the LCM of 784,280,672,737,680 is 294682080.
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FAQs on LCM of 784, 280, 672, 737, 680
1. What is the LCM of 784, 280, 672, 737, 680?
Answer: LCM of 784, 280, 672, 737, 680 is 294682080.
2. How to calculate the LCM of 784, 280, 672, 737, 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 784, 280, 672, 737, 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}.