LCM of 688, 219, 538, 209, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 219, 538, 209, 600 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, 219, 538, 209, 600. So, keep reading to learn more.
Given numbers are 688,219,538,209,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,219,538,209,600 is 211773262800.
Find LCM of 688,219,538,209,600 with Prime Factorization
| 2 | 688, 219, 538, 209, 600 |
| 2 | 344, 219, 269, 209, 300 |
| 2 | 172, 219, 269, 209, 150 |
| 3 | 86, 219, 269, 209, 75 |
| 86, 73, 269, 209, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 86 x 73 x 269 x 209 x 25 = 211773262800
Therefore, the lowest common multiple of 688,219,538,209,600 is 211773262800.
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 219 x 538 x 209 x 600 = 10165116614400
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
219 : 1, 3, 73, 219
538 : 1, 2, 269, 538
209 : 1, 11, 19, 209
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,219,538,209,600, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
219:3x 73
538:2x 269
209:11x 19
600:2x 2x 2x 3x 5x 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 3 = 48
Therefore, the value for common factors is 48.
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 = 10165116614400/(1x48)
LCM = 10165116614400/48
LCM = 211773262800
Thus, we can understand that the LCM of 688,219,538,209,600 is 211773262800.
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FAQs on LCM of 688, 219, 538, 209, 600
1. What is the LCM of 688, 219, 538, 209, 600?
Answer: LCM of 688, 219, 538, 209, 600 is 211773262800.
2. How to calculate the LCM of 688, 219, 538, 209, 600?
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, 219, 538, 209, 600.
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}.