LCM of 688, 374, 465, 204, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 374, 465, 204, 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 688, 374, 465, 204, 688. So, keep reading to learn more.
Given numbers are 688,374,465,204,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,374,465,204,688 is 59825040.
Find LCM of 688,374,465,204,688 with Prime Factorization
| 2 | 688, 374, 465, 204, 688 |
| 2 | 344, 187, 465, 102, 344 |
| 2 | 172, 187, 465, 51, 172 |
| 2 | 86, 187, 465, 51, 86 |
| 3 | 43, 187, 465, 51, 43 |
| 17 | 43, 187, 155, 17, 43 |
| 43 | 43, 11, 155, 1, 43 |
| 1, 11, 155, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 43 x 1 x 11 x 155 x 1 x 1 = 59825040
Therefore, the lowest common multiple of 688,374,465,204,688 is 59825040.
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 374 x 465 x 204 x 688 = 16793128028160
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
465 : 1, 3, 5, 15, 31, 93, 155, 465
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 688,374,465,204,688, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
374:2x 11x 17
465:3x 5x 31
204:2x 2x 3x 17
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 3x 17x 43 = 280704
Therefore, the value for common factors is 280704.
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 = 16793128028160/(1x280704)
LCM = 16793128028160/280704
LCM = 59825040
Thus, we can understand that the LCM of 688,374,465,204,688 is 59825040.
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FAQs on LCM of 688, 374, 465, 204, 688
1. What is the LCM of 688, 374, 465, 204, 688?
Answer: LCM of 688, 374, 465, 204, 688 is 59825040.
2. How to calculate the LCM of 688, 374, 465, 204, 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 688, 374, 465, 204, 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}.