LCM of 605, 360, 976, 989, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 360, 976, 989, 688 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, 360, 976, 989, 688. So, keep reading to learn more.
Given numbers are 605,360,976,989,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,360,976,989,688 is 5255862480.
Find LCM of 605,360,976,989,688 with Prime Factorization
| 2 | 605, 360, 976, 989, 688 |
| 2 | 605, 180, 488, 989, 344 |
| 2 | 605, 90, 244, 989, 172 |
| 2 | 605, 45, 122, 989, 86 |
| 5 | 605, 45, 61, 989, 43 |
| 43 | 121, 9, 61, 989, 43 |
| 121, 9, 61, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 43 x 121 x 9 x 61 x 23 x 1 = 5255862480
Therefore, the lowest common multiple of 605,360,976,989,688 is 5255862480.
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 360 x 976 x 989 x 688 = 144641335449600
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
989 : 1, 23, 43, 989
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,360,976,989,688, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
360:2x 2x 2x 3x 3x 5
976:2x 2x 2x 2x 61
989:23x 43
688:2x 2x 2x 2x 43
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 2x 5x 43 = 27520
Therefore, the value for common factors is 27520.
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 = 144641335449600/(1x27520)
LCM = 144641335449600/27520
LCM = 5255862480
Thus, we can understand that the LCM of 605,360,976,989,688 is 5255862480.
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FAQs on LCM of 605, 360, 976, 989, 688
1. What is the LCM of 605, 360, 976, 989, 688?
Answer: LCM of 605, 360, 976, 989, 688 is 5255862480.
2. How to calculate the LCM of 605, 360, 976, 989, 688?
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, 360, 976, 989, 688.
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}.