LCM of 688, 822, 688, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 822, 688, 702 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 688, 822, 688, 702. So, keep reading to learn more.
Given numbers are 688,822,688,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,822,688,702 is 33083856.
Find LCM of 688,822,688,702 with Prime Factorization
| 2 | 688, 822, 688, 702 |
| 2 | 344, 411, 344, 351 |
| 2 | 172, 411, 172, 351 |
| 2 | 86, 411, 86, 351 |
| 3 | 43, 411, 43, 351 |
| 43 | 43, 137, 43, 117 |
| 1, 137, 1, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 43 x 1 x 137 x 1 x 117 = 33083856
Therefore, the lowest common multiple of 688,822,688,702 is 33083856.
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.
688 x 822 x 688 x 702 = 273140315136
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
822 : 1, 2, 3, 6, 137, 274, 411, 822
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,822,688,702, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
822:2x 3x 137
688:2x 2x 2x 2x 43
702:2x 3x 3x 3x 13
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 3x 43 = 4128
Therefore, the value for common factors is 4128.
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 = 273140315136/(2x4128)
LCM = 273140315136/8256
LCM = 33083856
Thus, we can understand that the LCM of 688,822,688,702 is 33083856.
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FAQs on LCM of 688, 822, 688, 702
1. What is the LCM of 688, 822, 688, 702?
Answer: LCM of 688, 822, 688, 702 is 33083856.
2. How to calculate the LCM of 688, 822, 688, 702?
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 688, 822, 688, 702.
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}.