LCM of 689, 690, 453, 393, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 690, 453, 393, 960 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 689, 690, 453, 393, 960. So, keep reading to learn more.
Given numbers are 689,690,453,393,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,690,453,393,960 is 300930726720.
Find LCM of 689,690,453,393,960 with Prime Factorization
| 2 | 689, 690, 453, 393, 960 |
| 3 | 689, 345, 453, 393, 480 |
| 5 | 689, 115, 151, 131, 160 |
| 689, 23, 151, 131, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 689 x 23 x 151 x 131 x 32 = 300930726720
Therefore, the lowest common multiple of 689,690,453,393,960 is 300930726720.
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.
689 x 690 x 453 x 393 x 960 = 81251296214400
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.
689 : 1, 13, 53, 689
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
453 : 1, 3, 151, 453
393 : 1, 3, 131, 393
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,690,453,393,960, is 1.
Now, the common factors can be found like this.
689:13x 53
690:2x 3x 5x 23
453:3x 151
393:3x 131
960:2x 2x 2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 81251296214400/(1x270)
LCM = 81251296214400/270
LCM = 300930726720
Thus, we can understand that the LCM of 689,690,453,393,960 is 300930726720.
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FAQs on LCM of 689, 690, 453, 393, 960
1. What is the LCM of 689, 690, 453, 393, 960?
Answer: LCM of 689, 690, 453, 393, 960 is 300930726720.
2. How to calculate the LCM of 689, 690, 453, 393, 960?
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 689, 690, 453, 393, 960.
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}.