LCM of 102, 408, 616, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 408, 616, 749 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 102, 408, 616, 749. So, keep reading to learn more.
Given numbers are 102,408,616,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,408,616,749 is 3361512.
Find LCM of 102,408,616,749 with Prime Factorization
| 2 | 102, 408, 616, 749 |
| 2 | 51, 204, 308, 749 |
| 2 | 51, 102, 154, 749 |
| 3 | 51, 51, 77, 749 |
| 7 | 17, 17, 77, 749 |
| 17 | 17, 17, 11, 107 |
| 1, 1, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 1 x 1 x 11 x 107 = 3361512
Therefore, the lowest common multiple of 102,408,616,749 is 3361512.
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.
102 x 408 x 616 x 749 = 19200956544
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,408,616,749, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
408:2x 2x 2x 3x 17
616:2x 2x 2x 7x 11
749:7x 107
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 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 19200956544/(1x5712)
LCM = 19200956544/5712
LCM = 3361512
Thus, we can understand that the LCM of 102,408,616,749 is 3361512.
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FAQs on LCM of 102, 408, 616, 749
1. What is the LCM of 102, 408, 616, 749?
Answer: LCM of 102, 408, 616, 749 is 3361512.
2. How to calculate the LCM of 102, 408, 616, 749?
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 102, 408, 616, 749.
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}.