LCM of 340, 812, 280, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 340, 812, 280, 604 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 340, 812, 280, 604. So, keep reading to learn more.
Given numbers are 340,812,280,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,812,280,604 is 20844040.
Find LCM of 340,812,280,604 with Prime Factorization
| 2 | 340, 812, 280, 604 |
| 2 | 170, 406, 140, 302 |
| 5 | 85, 203, 70, 151 |
| 7 | 17, 203, 14, 151 |
| 17, 29, 2, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 17 x 29 x 2 x 151 = 20844040
Therefore, the lowest common multiple of 340,812,280,604 is 20844040.
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.
340 x 812 x 280 x 604 = 46690649600
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
604 : 1, 2, 4, 151, 302, 604
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,812,280,604, is 4.
Now, the common factors can be found like this.
340:2x 2x 5x 17
812:2x 2x 7x 29
280:2x 2x 2x 5x 7
604:2x 2x 151
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 46690649600/(4x560)
LCM = 46690649600/2240
LCM = 20844040
Thus, we can understand that the LCM of 340,812,280,604 is 20844040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 340, 812, 280, 604
1. What is the LCM of 340, 812, 280, 604?
Answer: LCM of 340, 812, 280, 604 is 20844040.
2. How to calculate the LCM of 340, 812, 280, 604?
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 340, 812, 280, 604.
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}.