LCM of 216, 781, 582, 408, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 781, 582, 408, 679 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 216, 781, 582, 408, 679. So, keep reading to learn more.
Given numbers are 216,781,582,408,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,781,582,408,679 is 1947257928.
Find LCM of 216,781,582,408,679 with Prime Factorization
| 2 | 216, 781, 582, 408, 679 |
| 2 | 108, 781, 291, 204, 679 |
| 2 | 54, 781, 291, 102, 679 |
| 3 | 27, 781, 291, 51, 679 |
| 97 | 9, 781, 97, 17, 679 |
| 9, 781, 1, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 97 x 9 x 781 x 1 x 17 x 7 = 1947257928
Therefore, the lowest common multiple of 216,781,582,408,679 is 1947257928.
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.
216 x 781 x 582 x 408 x 679 = 27199298738304
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
781 : 1, 11, 71, 781
582 : 1, 2, 3, 6, 97, 194, 291, 582
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,781,582,408,679, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
781:11x 71
582:2x 3x 97
408:2x 2x 2x 3x 17
679:7x 97
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 3x 3x 97 = 13968
Therefore, the value for common factors is 13968.
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 = 27199298738304/(1x13968)
LCM = 27199298738304/13968
LCM = 1947257928
Thus, we can understand that the LCM of 216,781,582,408,679 is 1947257928.
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FAQs on LCM of 216, 781, 582, 408, 679
1. What is the LCM of 216, 781, 582, 408, 679?
Answer: LCM of 216, 781, 582, 408, 679 is 1947257928.
2. How to calculate the LCM of 216, 781, 582, 408, 679?
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 216, 781, 582, 408, 679.
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}.