LCM of 776, 702, 942, 245, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 702, 942, 245, 812 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 776, 702, 942, 245, 812. So, keep reading to learn more.
Given numbers are 776,702,942,245,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,702,942,245,812 is 303831342360.
Find LCM of 776,702,942,245,812 with Prime Factorization
| 2 | 776, 702, 942, 245, 812 |
| 2 | 388, 351, 471, 245, 406 |
| 3 | 194, 351, 471, 245, 203 |
| 7 | 194, 117, 157, 245, 203 |
| 194, 117, 157, 35, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 194 x 117 x 157 x 35 x 29 = 303831342360
Therefore, the lowest common multiple of 776,702,942,245,812 is 303831342360.
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.
776 x 702 x 942 x 245 x 812 = 102087331032960
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
942 : 1, 2, 3, 6, 157, 314, 471, 942
245 : 1, 5, 7, 35, 49, 245
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,702,942,245,812, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
702:2x 3x 3x 3x 13
942:2x 3x 157
245:5x 7x 7
812:2x 2x 7x 29
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 = 102087331032960/(1x336)
LCM = 102087331032960/336
LCM = 303831342360
Thus, we can understand that the LCM of 776,702,942,245,812 is 303831342360.
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FAQs on LCM of 776, 702, 942, 245, 812
1. What is the LCM of 776, 702, 942, 245, 812?
Answer: LCM of 776, 702, 942, 245, 812 is 303831342360.
2. How to calculate the LCM of 776, 702, 942, 245, 812?
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 776, 702, 942, 245, 812.
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}.