LCM of 784, 840, 140, 317, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 840, 140, 317, 398 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, 840, 140, 317, 398. So, keep reading to learn more.
Given numbers are 784,840,140,317,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,840,140,317,398 is 741856080.
Find LCM of 784,840,140,317,398 with Prime Factorization
| 2 | 784, 840, 140, 317, 398 |
| 2 | 392, 420, 70, 317, 199 |
| 2 | 196, 210, 35, 317, 199 |
| 5 | 98, 105, 35, 317, 199 |
| 7 | 98, 21, 7, 317, 199 |
| 14, 3, 1, 317, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 14 x 3 x 1 x 317 x 199 = 741856080
Therefore, the lowest common multiple of 784,840,140,317,398 is 741856080.
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 840 x 140 x 317 x 398 = 11632303334400
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
317 : 1, 317
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,840,140,317,398, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
840:2x 2x 2x 3x 5x 7
140:2x 2x 5x 7
317:317
398:2x 199
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 5x 7x 7 = 15680
Therefore, the value for common factors is 15680.
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 = 11632303334400/(1x15680)
LCM = 11632303334400/15680
LCM = 741856080
Thus, we can understand that the LCM of 784,840,140,317,398 is 741856080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 784, 840, 140, 317, 398
1. What is the LCM of 784, 840, 140, 317, 398?
Answer: LCM of 784, 840, 140, 317, 398 is 741856080.
2. How to calculate the LCM of 784, 840, 140, 317, 398?
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, 840, 140, 317, 398.
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}.