LCM of 688, 736, 391, 792, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 736, 391, 792, 909 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, 736, 391, 792, 909. So, keep reading to learn more.
Given numbers are 688,736,391,792,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,736,391,792,909 is 5379621984.
Find LCM of 688,736,391,792,909 with Prime Factorization
| 2 | 688, 736, 391, 792, 909 |
| 2 | 344, 368, 391, 396, 909 |
| 2 | 172, 184, 391, 198, 909 |
| 2 | 86, 92, 391, 99, 909 |
| 3 | 43, 46, 391, 99, 909 |
| 3 | 43, 46, 391, 33, 303 |
| 23 | 43, 46, 391, 11, 101 |
| 43, 2, 17, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 23 x 43 x 2 x 17 x 11 x 101 = 5379621984
Therefore, the lowest common multiple of 688,736,391,792,909 is 5379621984.
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 736 x 391 x 792 x 909 = 142538464088064
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
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
391 : 1, 17, 23, 391
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,736,391,792,909, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
736:2x 2x 2x 2x 2x 23
391:17x 23
792:2x 2x 2x 3x 3x 11
909:3x 3x 101
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 3x 23 = 26496
Therefore, the value for common factors is 26496.
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 = 142538464088064/(1x26496)
LCM = 142538464088064/26496
LCM = 5379621984
Thus, we can understand that the LCM of 688,736,391,792,909 is 5379621984.
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FAQs on LCM of 688, 736, 391, 792, 909
1. What is the LCM of 688, 736, 391, 792, 909?
Answer: LCM of 688, 736, 391, 792, 909 is 5379621984.
2. How to calculate the LCM of 688, 736, 391, 792, 909?
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, 736, 391, 792, 909.
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}.