LCM of 688, 848, 192, 267, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 848, 192, 267, 240 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, 848, 192, 267, 240. So, keep reading to learn more.
Given numbers are 688,848,192,267,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,848,192,267,240 is 194717760.
Find LCM of 688,848,192,267,240 with Prime Factorization
| 2 | 688, 848, 192, 267, 240 |
| 2 | 344, 424, 96, 267, 120 |
| 2 | 172, 212, 48, 267, 60 |
| 2 | 86, 106, 24, 267, 30 |
| 3 | 43, 53, 12, 267, 15 |
| 43, 53, 4, 89, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 43 x 53 x 4 x 89 x 5 = 194717760
Therefore, the lowest common multiple of 688,848,192,267,240 is 194717760.
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 848 x 192 x 267 x 240 = 7178075504640
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
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
267 : 1, 3, 89, 267
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,848,192,267,240, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
848:2x 2x 2x 2x 53
192:2x 2x 2x 2x 2x 2x 3
267:3x 89
240:2x 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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 36864
Therefore, the value for common factors is 36864.
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 = 7178075504640/(1x36864)
LCM = 7178075504640/36864
LCM = 194717760
Thus, we can understand that the LCM of 688,848,192,267,240 is 194717760.
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FAQs on LCM of 688, 848, 192, 267, 240
1. What is the LCM of 688, 848, 192, 267, 240?
Answer: LCM of 688, 848, 192, 267, 240 is 194717760.
2. How to calculate the LCM of 688, 848, 192, 267, 240?
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, 848, 192, 267, 240.
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}.