LCM of 1926, 6342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1926, 6342 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 1926, 6342. So, keep reading to learn more.
Given numbers are 1926,6342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1926,6342 is 2035782.
Find LCM of 1926,6342 with Prime Factorization
| 2 | 1926, 6342 |
| 3 | 963, 3171 |
| 321, 1057 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 321 x 1057 = 2035782
Therefore, the lowest common multiple of 1926,6342 is 2035782.
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.
1926 x 6342 = 12214692
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.
1926 : 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
6342 : 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1926,6342, is 6.
Now, the common factors can be found like this.
1926:2x 3x 3x 107
6342:2x 3x 7x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 12214692/(6x1)
LCM = 12214692/6
LCM = 2035782
Thus, we can understand that the LCM of 1926,6342 is 2035782.
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FAQs on LCM of 1926, 6342
1. What is the LCM of 1926, 6342?
Answer: LCM of 1926, 6342 is 2035782.
2. How to calculate the LCM of 1926, 6342?
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 1926, 6342.
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}.