LCM of 434, 340, 714, 347, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 340, 714, 347, 411 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 434, 340, 714, 347, 411. So, keep reading to learn more.
Given numbers are 434,340,714,347,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,340,714,347,411 is 10522282260.
Find LCM of 434,340,714,347,411 with Prime Factorization
| 2 | 434, 340, 714, 347, 411 |
| 3 | 217, 170, 357, 347, 411 |
| 7 | 217, 170, 119, 347, 137 |
| 17 | 31, 170, 17, 347, 137 |
| 31, 10, 1, 347, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 31 x 10 x 1 x 347 x 137 = 10522282260
Therefore, the lowest common multiple of 434,340,714,347,411 is 10522282260.
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.
434 x 340 x 714 x 347 x 411 = 15025819067280
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
347 : 1, 347
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,340,714,347,411, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
340:2x 2x 5x 17
714:2x 3x 7x 17
347:347
411:3x 137
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 3x 7x 17 = 1428
Therefore, the value for common factors is 1428.
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 = 15025819067280/(1x1428)
LCM = 15025819067280/1428
LCM = 10522282260
Thus, we can understand that the LCM of 434,340,714,347,411 is 10522282260.
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FAQs on LCM of 434, 340, 714, 347, 411
1. What is the LCM of 434, 340, 714, 347, 411?
Answer: LCM of 434, 340, 714, 347, 411 is 10522282260.
2. How to calculate the LCM of 434, 340, 714, 347, 411?
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 434, 340, 714, 347, 411.
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}.