LCM of 605, 884, 847, 329, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 884, 847, 329, 496 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 605, 884, 847, 329, 496. So, keep reading to learn more.
Given numbers are 605,884,847,329,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,884,847,329,496 is 21818516720.
Find LCM of 605,884,847,329,496 with Prime Factorization
| 2 | 605, 884, 847, 329, 496 |
| 2 | 605, 442, 847, 329, 248 |
| 7 | 605, 221, 847, 329, 124 |
| 11 | 605, 221, 121, 47, 124 |
| 11 | 55, 221, 11, 47, 124 |
| 5, 221, 1, 47, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 11 x 5 x 221 x 1 x 47 x 124 = 21818516720
Therefore, the lowest common multiple of 605,884,847,329,496 is 21818516720.
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.
605 x 884 x 847 x 329 x 496 = 73921134647360
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.
605 : 1, 5, 11, 55, 121, 605
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
847 : 1, 7, 11, 77, 121, 847
329 : 1, 7, 47, 329
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,884,847,329,496, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
884:2x 2x 13x 17
847:7x 11x 11
329:7x 47
496:2x 2x 2x 2x 31
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 7x 11x 11 = 3388
Therefore, the value for common factors is 3388.
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 = 73921134647360/(1x3388)
LCM = 73921134647360/3388
LCM = 21818516720
Thus, we can understand that the LCM of 605,884,847,329,496 is 21818516720.
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FAQs on LCM of 605, 884, 847, 329, 496
1. What is the LCM of 605, 884, 847, 329, 496?
Answer: LCM of 605, 884, 847, 329, 496 is 21818516720.
2. How to calculate the LCM of 605, 884, 847, 329, 496?
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 605, 884, 847, 329, 496.
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}.