The lcm the 14 and 6 is the smallest positive integer the divides the numbers 14 and 6 there is no a remainder. Spelled out, the is the least typical multiple that 14 and 6. Below you can discover the lcm that 14 and 6, along with a full of three approaches for computing it. In addition, we have a calculator friend should inspect out. No only can it identify the lcm of 14 and 6, but additionally that of three or more integers including fourteen and also six because that example. Keep analysis to find out everything around the lcm (14,6) and the terms related to it.
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What is the LCM of 14 and 6
If you just want to know what is the least typical multiple the 14 and also 6, it is 42. Usually, this is created aslcm(14,6) = 42
The lcm that 14 and also 6 can be acquired like this:The multiples of 14 are … , 28, 42, 56, …. The multiples that 6 space …, 36, 42, 48, … The common multiples of 14 and also 6 space n x 42, intersecting the 2 sets above, n eq 0 hinspacein hinspacemathbbZ. In the intersection multiples the 14 ∩ multiples the 6 the least positive element is 42. Therefore, the least typical multiple of 14 and also 6 is 42.
Taking the over into account you additionally know just how to find all the usual multiples the 14 and also 6, not just the smallest. In the next section we present you how to calculation the lcm that fourteen and also six by method of two more methods.
How to uncover the LCM of 14 and also 6
The least common multiple that 14 and 6 deserve to be computed by utilizing the greatest common factor aka gcf of 14 and also 6. This is the easiest approach:
lcm (14,6) = frac14 imes 6gcf(14,6) = frac842 = 42
Alternatively, the lcm of 14 and also 6 deserve to be uncovered using the element factorization of 14 and 6:The element factorization of 14 is: 2 x 7 The prime factorization that 6 is: 2 x 3 get rid of the duplicate factors of the two lists, then multiply them as soon as with the remaining determinants of the lists to acquire lcm(14,14) = 42
In any type of case, the easiest way to compute the lcm of 2 numbers choose 14 and also 6 is by making use of our calculator below. Note that the can likewise compute the lcm of an ext than 2 numbers, be separate by a comma. Because that example, go into 14,6. Push the button only to begin over.
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Use that LCM that 14 and also 6
What is the least usual multiple the 14 and 6 provided for? Answer: it is useful for including and subtracting fractions prefer 1/14 and 1/6. Simply multiply the dividends and also divisors through 3 and also 7, respectively, such that the divisors have the value of 42, the lcm the 14 and 6.
frac114 + frac16 = frac342 + frac742 = frac1042. frac114 - frac16 = frac342 - frac742 = frac-442.
Properties that LCM of 14 and 6
The most necessary properties the the lcm(14,6) are:Commutative property: lcm(14,6) = lcm(6,14) Associative property: lcm(14,6,n) = lcm(lcm(6,14),n) n eq 0 hinspacein hinspacemathbbZ
The associativity is specifically useful to obtain the lcm of three or much more numbers; ours calculator provides use of it.
To sum up, the lcm of 14 and also 6 is 42. In usual notation: lcm (14,6) = 42.
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