LCM of 612, 476, 386, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 476, 386, 106 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 612, 476, 386, 106. So, keep reading to learn more.
Given numbers are 612,476,386,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,476,386,106 is 43821036.
Find LCM of 612,476,386,106 with Prime Factorization
| 2 | 612, 476, 386, 106 |
| 2 | 306, 238, 193, 53 |
| 17 | 153, 119, 193, 53 |
| 9, 7, 193, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 9 x 7 x 193 x 53 = 43821036
Therefore, the lowest common multiple of 612,476,386,106 is 43821036.
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.
612 x 476 x 386 x 106 = 11919321792
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
386 : 1, 2, 193, 386
106 : 1, 2, 53, 106
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,476,386,106, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
476:2x 2x 7x 17
386:2x 193
106:2x 53
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 17 = 136
Therefore, the value for common factors is 136.
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 = 11919321792/(2x136)
LCM = 11919321792/272
LCM = 43821036
Thus, we can understand that the LCM of 612,476,386,106 is 43821036.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 476, 386, 106
1. What is the LCM of 612, 476, 386, 106?
Answer: LCM of 612, 476, 386, 106 is 43821036.
2. How to calculate the LCM of 612, 476, 386, 106?
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 612, 476, 386, 106.
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}.