LCM of 626, 378, 214, 814, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 378, 214, 814, 714 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 626, 378, 214, 814, 714. So, keep reading to learn more.
Given numbers are 626,378,214,814,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,378,214,814,714 is 87591758562.
Find LCM of 626,378,214,814,714 with Prime Factorization
| 2 | 626, 378, 214, 814, 714 |
| 3 | 313, 189, 107, 407, 357 |
| 7 | 313, 63, 107, 407, 119 |
| 313, 9, 107, 407, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 313 x 9 x 107 x 407 x 17 = 87591758562
Therefore, the lowest common multiple of 626,378,214,814,714 is 87591758562.
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.
626 x 378 x 214 x 814 x 714 = 29430830876832
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.
626 : 1, 2, 313, 626
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
214 : 1, 2, 107, 214
814 : 1, 2, 11, 22, 37, 74, 407, 814
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,378,214,814,714, is 2.
Now, the common factors can be found like this.
626:2x 313
378:2x 3x 3x 3x 7
214:2x 107
814:2x 11x 37
714:2x 3x 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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 29430830876832/(2x168)
LCM = 29430830876832/336
LCM = 87591758562
Thus, we can understand that the LCM of 626,378,214,814,714 is 87591758562.
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FAQs on LCM of 626, 378, 214, 814, 714
1. What is the LCM of 626, 378, 214, 814, 714?
Answer: LCM of 626, 378, 214, 814, 714 is 87591758562.
2. How to calculate the LCM of 626, 378, 214, 814, 714?
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 626, 378, 214, 814, 714.
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}.