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Chapter 1: Q. 1.6 (page 10)

Find the LCM of 18 and 24 using the Prime Factors method.

Short Answer

Expert verified

The LCM of 18 and 24 is 72.

Step by step solution

01

. Given Information.

The given numbers, to find the LCM, is 18 and 24.

02

Step 2. Find the prime factors.

Find the prime factors of the given numbers.

18=2脳3脳3

And,

24=2脳2脳2脳3

Now, make the list of primes factors from each number.

18=2脳3脳324=2脳2脳2脳3

03

Step 3. Check common and single factors.

LCM=72Take out the common factors and single factors.

role="math" localid="1643884212696" 24=2脳2脳2脳318=2脳3脳3LCM=2脳2脳2脳3脳3

Multiply the factors for LCM.

04

Step 4. Conclusion.

The required LCM is 72.

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Most popular questions from this chapter

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

96

6(x+7)

In the following exercises,Perform the indicated operation,1136-1548

Translate the English phrase into an algebraic expression:

(a) the difference of 14x2and 13

(b) the quotient of 12x and 2

(c) 13 more than z

(d)18 less than 8x

For the following exercises, evaluate each expression.

y+z2when localid="1644418403317" y=-4,z=7
See all solutions

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