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Prove that √2 is an irrational number.
Assertion (A) : For any two natural numbers a and b, the HCF of a and b is a factor of the LCM of a and b. Reason (R) : HCF of any two natural numbers divides both the numbers.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
If p = 2³ × 3² × 5 and q = 2² × 3³, then the LCM of p and q is :
Using prime factorisation, find the HCF of 180, 140 and 210.
LCM of (2³ × 3 × 5) and (2⁴ × 5 × 7) is :
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