what is the lcm of under root 2 and under root 3
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Answer Posted / santosh
LCM of integral numbers is obtained easily. There is,
however, difficulty in finding LCM when numbers are
fractions (like 3/4, 1/3 etc.) or irrational numbers (like
π, 2√2 etc.).
For rational fraction, we can find LCM using following
formula :
LCM=(LCM of numerators/ HCF of denominators)
Consider fractions 3/5 and 2/3. The LCM of numerators 3 and
2 is 6. The HCF of denominators is 1. Hence, LCM of two
fractions is 6/1 i.e. 6.
This rule also works for irrational numbers of similar type
like 2√2/3 , 3√2/5 etc or π/2, 3π/2 etc. However, we can
not find LCM of irrational numbers of different kind like
2√2 and π. Similarly, there is no LCM for combination of
rational and irrational numbers.
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