Ladder Diagram

Q.

Write the Smallest Number Divisible by Both $306$and $657$?

Q.

The LCM of two prime numbers$p$ and $q(p>q)$is $221$.

Find the value of $3p-q.$

1. $4$

2. $28$

3. $38$

4. $48$

Q. is the least common multiple of 6 and 8

Q. The LCM of 12 and 15 is

Q. Determine the LCM of $546$ and $676$ using ladder diagram.

1. $14196$
2. $1546$
3. $13176$

Q. Find the LCM of $64$ and $48$ using ladder diagram.

1. $2$
2. $64$
3. $48$
4. $192$

Q.

If $a+b+c=3$, then find the value of $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}$.

Q. Given that two number have no factors in common other than 1. Which of the following will be least common multiple of both numbers?
Solve using ladder diagram.

1. $x+y$
2. $x^y$
3. $xy$
4. $\frac{x}{y}$

Q.

Find the L.C.M of $5,10$ and $15$ by listing multiples.

Q.

Add the following fractions :

$3\frac{3}{7}+5\frac{1}{4}+2\frac{1}{3}$

Q. Two different machines are used to manufacture a product. The first machine makes the top part, 14 in each batch, and the second machine makes the bottom part, 16 in each batch. Each top part is assembled with the bottom part and released to the sales department. Find the minimum number of product needs to be produced such that no unassembled parts are left.

Q. LCM of $7$ and $11$ is

1. $1$
2. $7$
3. $11$
4. $77$

Q.

Simplify $\frac{1}{3}+\frac{1}{5}$

Q.

Simplify $\frac{2}{3}+\frac{3}{4}-\frac{11}{15}$.

Q.

Simplify $\frac{3}{10}-\frac{11}{30}+\frac{2}{15}$.