LCM of 692, 308, 268, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 308, 268, 105 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 692, 308, 268, 105. So, keep reading to learn more.
Given numbers are 692,308,268,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,308,268,105 is 53550420.
Find LCM of 692,308,268,105 with Prime Factorization
| 2 | 692, 308, 268, 105 |
| 2 | 346, 154, 134, 105 |
| 7 | 173, 77, 67, 105 |
| 173, 11, 67, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 173 x 11 x 67 x 15 = 53550420
Therefore, the lowest common multiple of 692,308,268,105 is 53550420.
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.
692 x 308 x 268 x 105 = 5997647040
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.
692 : 1, 2, 4, 173, 346, 692
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
268 : 1, 2, 4, 67, 134, 268
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,308,268,105, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
308:2x 2x 7x 11
268:2x 2x 67
105:3x 5x 7
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 7 = 112
Therefore, the value for common factors is 112.
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 = 5997647040/(1x112)
LCM = 5997647040/112
LCM = 53550420
Thus, we can understand that the LCM of 692,308,268,105 is 53550420.
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FAQs on LCM of 692, 308, 268, 105
1. What is the LCM of 692, 308, 268, 105?
Answer: LCM of 692, 308, 268, 105 is 53550420.
2. How to calculate the LCM of 692, 308, 268, 105?
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 692, 308, 268, 105.
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}.