LCM of 614, 688, 588, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 688, 588, 784 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 614, 688, 588, 784. So, keep reading to learn more.
Given numbers are 614,688,588,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,688,588,784 is 31048752.
Find LCM of 614,688,588,784 with Prime Factorization
| 2 | 614, 688, 588, 784 |
| 2 | 307, 344, 294, 392 |
| 2 | 307, 172, 147, 196 |
| 2 | 307, 86, 147, 98 |
| 7 | 307, 43, 147, 49 |
| 7 | 307, 43, 21, 7 |
| 307, 43, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 307 x 43 x 3 x 1 = 31048752
Therefore, the lowest common multiple of 614,688,588,784 is 31048752.
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.
614 x 688 x 588 x 784 = 194737772544
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.
614 : 1, 2, 307, 614
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,688,588,784, is 2.
Now, the common factors can be found like this.
614:2x 307
688:2x 2x 2x 2x 43
588:2x 2x 3x 7x 7
784:2x 2x 2x 2x 7x 7
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 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 194737772544/(2x3136)
LCM = 194737772544/6272
LCM = 31048752
Thus, we can understand that the LCM of 614,688,588,784 is 31048752.
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FAQs on LCM of 614, 688, 588, 784
1. What is the LCM of 614, 688, 588, 784?
Answer: LCM of 614, 688, 588, 784 is 31048752.
2. How to calculate the LCM of 614, 688, 588, 784?
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 614, 688, 588, 784.
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}.