Question Detail

If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

2574
2500
1365
1574

Answer: Option A

Explanation:

HCF * LCM = 84942, because we know

Product of two numbers = Product of HCF and LCM

LCM = 84942/33 = 2574

1. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

Answer: Option B

Explanation:

In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127

2. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is

Answer: Option D

3. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

Answer: Option D

Explanation:

Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM

144 * x = 12 * 5040

x = (12*5040)/144 = 420

4. Find the largest number which divides 62,132,237 to leave the same reminder

Answer: Option C

Explanation:

Trick is HCF of (237-132), (132-62), (237-62)
= HCF of (70,105,175) = 35

5. HCF of
$\begin{aligned} 2^2 \times 3^2 \times 5^2, 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$ is

$\begin{aligned} 2^4 \times 3^4 \times 5^3 \end{aligned}$
$\begin{aligned} 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$
$\begin{aligned} 2^2 \times 3^2 \times 5^2 \end{aligned}$
$\begin{aligned} 2 \times 3 \times 5 \end{aligned}$

Answer: Option C

Explanation:

As in HCF we will choose the minimum common factors among the given.. So answer will be third option

Question Detail

If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

1. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

2. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is

3. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

4. Find the largest number which divides 62,132,237 to leave the same reminder

5. HCF of
$\begin{aligned} 2^2 \times 3^2 \times 5^2, 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$ is

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Question Detail

If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

1. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

2. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is

3. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

4. Find the largest number which divides 62,132,237 to leave the same reminder

5. HCF of 22×32×52,24×34×53×11\begin{aligned} 2^2 \times 3^2 \times 5^2, 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned} is

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5. HCF of
$\begin{aligned} 2^2 \times 3^2 \times 5^2, 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$ is