LCM of 784, 222, 589, 812, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 222, 589, 812, 726 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, 222, 589, 812, 726. So, keep reading to learn more.
Given numbers are 784,222,589,812,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,222,589,812,726 is 179861290224.
Find LCM of 784,222,589,812,726 with Prime Factorization
| 2 | 784, 222, 589, 812, 726 |
| 2 | 392, 111, 589, 406, 363 |
| 3 | 196, 111, 589, 203, 363 |
| 7 | 196, 37, 589, 203, 121 |
| 28, 37, 589, 29, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 28 x 37 x 589 x 29 x 121 = 179861290224
Therefore, the lowest common multiple of 784,222,589,812,726 is 179861290224.
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 222 x 589 x 812 x 726 = 60433393515264
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
222 : 1, 2, 3, 6, 37, 74, 111, 222
589 : 1, 19, 31, 589
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,222,589,812,726, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
222:2x 3x 37
589:19x 31
812:2x 2x 7x 29
726:2x 3x 11x 11
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 60433393515264/(1x336)
LCM = 60433393515264/336
LCM = 179861290224
Thus, we can understand that the LCM of 784,222,589,812,726 is 179861290224.
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FAQs on LCM of 784, 222, 589, 812, 726
1. What is the LCM of 784, 222, 589, 812, 726?
Answer: LCM of 784, 222, 589, 812, 726 is 179861290224.
2. How to calculate the LCM of 784, 222, 589, 812, 726?
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, 222, 589, 812, 726.
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}.