Question
What are the Highest Common Factor and Lowest Common
Multiple of 6, 72, 120?Solution
First of all, let us perform the prime factorization of 6, we get, So, we get, 6 = 2×3.....(i) Now, let us perform the prime factorization of 72, we get, So, we get, 72 = 2×2×2×3×3.....(ii) Now, let us perform the prime factorization of 120, we get, So, we get, 120 = 2×2×2×3×5......(iii) From equation (i), (ii) and (iii), we get, 6 = 2×3 72 = 2×2×2×3×3 120 = 2×2×2×3×5 From the above three equations, we can see that the common factors of 6, 72, and 120 is 2×3=6 So, we get the highest common factor or HCF of 6, 72, and 120 as 6. Now let us find the LCM of three numbers: 6, 72, and 120. We get, So, we get the LCM of 6, 72, and 120 as 2 × 2 × 2 × 3 × 3 × 5 = 360 Hence, the LCM of the three numbers is 360
Seema sold a laptop at a profit of 15%. If she had bought it at 10% less and sold it for ₹ 2,200 more, she would have gained 40%. What was the cost pr...
- An item costs Rs. 15,600. The shopkeeper tags it 35% above its cost price and sells it after offering a 15% discount. What is the profit earned in rupees?
A person bought an article and sold it at a loss of 15%. If he had bought it for 20% less and sold it for Rs114 more he would have had profit of 30%. F...
- A trader sold 4 identical notebooks for Rs. 104 and earned a profit of 30%. What is the cost price of 6 such notebooks?
The cost price of two articles is same. One article is sold at 25% profit and another at 12% loss. If the selling price of one article is Rs. 777 more t...
'C' sells a laptop at a profit of 50%. Had the profit percentage earned on selling the laptop been numerically equal to the cost price of the laptop, th...
Mohan bought a new car from the showroom and after one year he sold it to Shyam at a profit of 20 percent. Shyam sold the same car to Sumit at the loss...
A dealer sold an article for Rs. 276.5 after allowing a discount of 30% on its marked price. If the dealer suffered a loss of 21% in this transaction, t...
A person earn 18% profit on the marked price. If he quadruple the marked price but gave 40% discount on the new marked price then how much percentage of...
An item is initially marked up by 20%, followed by a 10% discount, and sold for Rs. 756. If the goal is to achieve double the pro...