LCM of 688, 240, 240, 344, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 240, 240, 344, 412 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, 240, 240, 344, 412. So, keep reading to learn more.
Given numbers are 688,240,240,344,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,240,240,344,412 is 1062960.
Find LCM of 688,240,240,344,412 with Prime Factorization
| 2 | 688, 240, 240, 344, 412 |
| 2 | 344, 120, 120, 172, 206 |
| 2 | 86, 60, 60, 172, 103 |
| 2 | 43, 30, 30, 86, 103 |
| 3 | 43, 15, 15, 43, 103 |
| 5 | 43, 5, 5, 43, 103 |
| 43 | 43, 1, 1, 43, 103 |
| 1, 1, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 43 x 1 x 1 x 1 x 1 x 103 = 1062960
Therefore, the lowest common multiple of 688,240,240,344,412 is 1062960.
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 240 x 240 x 344 x 412 = 5616510566400
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
344 : 1, 2, 4, 8, 43, 86, 172, 344
412 : 1, 2, 4, 103, 206, 412
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,240,240,344,412, is 4.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
240:2x 2x 2x 2x 3x 5
240:2x 2x 2x 2x 3x 5
344:2x 2x 2x 43
412:2x 2x 103
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 3x 5x 43 = 1320960
Therefore, the value for common factors is 1320960.
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 = 5616510566400/(4x1320960)
LCM = 5616510566400/5283840
LCM = 1062960
Thus, we can understand that the LCM of 688,240,240,344,412 is 1062960.
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FAQs on LCM of 688, 240, 240, 344, 412
1. What is the LCM of 688, 240, 240, 344, 412?
Answer: LCM of 688, 240, 240, 344, 412 is 1062960.
2. How to calculate the LCM of 688, 240, 240, 344, 412?
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, 240, 240, 344, 412.
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}.