Question
HCF of two numbers is always a factor of their LCM (True/ False).

Answer

True.Reason:
The HCF is a factor of both the numbers which are factors of their LCM.
Thus the HCF is also a factor of the LCM of the two numbers.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Write 'True' or 'False' and justify your answer in the following:
The value of $\sin\theta$ is $\text{x}+\frac{1}{\text{x}},$ where 'x' is a positive real number.
Write 'True' or 'False' and justify your answer in the following:
The value of $\cos^2{23}-\sin^2{67}$ is positive.
Write the truth value (T/F) of the following statements:
Two polygons are similar, if their corresponding sides are proportional.
State whether the following statements are true or false. Justify your answer.
Point P(0, 2) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points A(-1, 1) and B(3, 3).
Write ‘True’ or ‘False’ and justify your answer.
If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.
State whether the following statements are true or false. Justify your answer.
A circle has its centre at the origin and a point P(5, 0) lies on it. The point Q(6, 8) lies outside the circle.
Write 'True' or 'False' and justify your answer.
If $\cos A+\cos ^2 A=1$, then $\sin ^2 A+\sin ^4 A=1$
Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reasons for your answer.
State whether the following statements are true or false. Justify your answer.
The points (0, 5), (0, -9) and (3, 6) are collinear.
If a quadratic polynomial f (x) is a square of a linear polynomial, then its two zeroes are coincident.