# LCM and HCF Problems with Solutions

• Q1:

Which one of the following numbers will divide 129 and 281 leaving 3 and 5 remainders respectively?

1. (A)23
2. (B)8
3. (C)7
4. (D)6

• Q2:

Find the L.C.M. of $\frac{1}{2},\frac{3}{5},\frac{4}{7}$ and $\frac{5}{21}$

1. (A)$\frac{2}{27}$
2. (B)$21$
3. (C)$\frac{1}{60}$
4. (D)$60$

• Q3:

The product of two numbers is 396 $\times$ 576 and the L.C.M. is 6336. Their G.C.M. is

1. (A)36
2. (B)26
3. (C)59
4. (D)76

• Q4:

What is the smallest number which when increased by 5 is divisible by 36, 48, 21 and 28?

1. (A)341
2. (B)314
3. (C)431
4. (D)443