LCM of 578, 688, 171, 460, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 688, 171, 460, 989 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 578, 688, 171, 460, 989. So, keep reading to learn more.
Given numbers are 578,688,171,460,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,688,171,460,989 is 3910031280.
Find LCM of 578,688,171,460,989 with Prime Factorization
| 2 | 578, 688, 171, 460, 989 |
| 2 | 289, 344, 171, 230, 989 |
| 23 | 289, 172, 171, 115, 989 |
| 43 | 289, 172, 171, 5, 43 |
| 289, 4, 171, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 43 x 289 x 4 x 171 x 5 x 1 = 3910031280
Therefore, the lowest common multiple of 578,688,171,460,989 is 3910031280.
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.
578 x 688 x 171 x 460 x 989 = 30936167487360
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.
578 : 1, 2, 17, 34, 289, 578
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
171 : 1, 3, 9, 19, 57, 171
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,688,171,460,989, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
688:2x 2x 2x 2x 43
171:3x 3x 19
460:2x 2x 5x 23
989:23x 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 23x 43 = 7912
Therefore, the value for common factors is 7912.
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 = 30936167487360/(1x7912)
LCM = 30936167487360/7912
LCM = 3910031280
Thus, we can understand that the LCM of 578,688,171,460,989 is 3910031280.
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FAQs on LCM of 578, 688, 171, 460, 989
1. What is the LCM of 578, 688, 171, 460, 989?
Answer: LCM of 578, 688, 171, 460, 989 is 3910031280.
2. How to calculate the LCM of 578, 688, 171, 460, 989?
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 578, 688, 171, 460, 989.
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}.