Using prime factorization, find the HCF and LCM of: 12, 15, 21

Question

Using prime factorization, find the HCF and LCM of:
$12, 15, 21$

✓

Answer

$12 = 2 \times 2 \times 3 = 2^2\times 3 15 = 3 \times 5 21 = 3 \times 7$
HCF $(12, 15, 21) = 3$
LCM $(12, 15, 21) = 2^2 \times 3 \times 5 \times 7 = 420$

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

Explore more

More "2 Marks Questions" from Real Numbers→Real Numbers — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Draw an ogive to represent the following frequency distribution:

Class-interval	0-4	5-9	10-14	15-19	20-24
No. of students	2	6	10	5	3

→

Find the roots of the following equations, if they exist, by applying the quadratic formula:
$2\sqrt3\text{x}^2-5\text{x}+\sqrt3=0$

→

A bag contains 18 balls out of which x balls are red.

If one ball is drawn at random from the bag, what is the probability that it is not red?
If two more red balls are put in the bag, the probability of drawing a red ball will be $\frac{9}{8}$ times the probability of drawing a red ball in the first case. Find the value of x.

→

Arogya Medico paid total GST of Rs.2,00,700 at the time of purchase and collected GST 2,22,200 at the time of sale during 1st of July 2021 to 31st July 2021. Find the GST payable by Arogya Medico.

→

Evaluate:
$4(\sin^430^\circ+\cos^460^\circ)-\frac{2}{3}(\sin^260^\circ-\cos^245^\circ)+\frac{1}{2} \ \tan^260^\circ$

→

Determine the nature of roots of the following quadratic equation from their discriminant:
$x^2-8 x+16=0$

→

If the mean of the frequency distribution is 8.1 and ∑𝑓𝑖𝑥𝑖 = 132 + 5k, ∑ 𝑓𝑖= 20 then find K.

→

Solve the following quadratic equation by factorization.
m² - 11 = 0

→

Evaluate the following:
If A = 45°, verify that:
$\sin2\text{A}=2\sin\text{A}\cos\text{A}$