What is the least common multiple of 7 and 24?

meindwrhc

meindwrhc

Answered question

2022-05-28

What is the least common multiple of 7 and 24?

Answer & Explanation

minnegodks

minnegodks

Beginner2022-05-29Added 10 answers

Step 1
By doing the Prime factorization:
24 = 2 × 2 × 2 × 3
7 = 7
And since there's isn't any common factor We need all the ' factors listed
7 × 2 × 2 × 2 × 3 = 168
Waylon Ruiz

Waylon Ruiz

Beginner2022-05-30Added 7 answers

Step 1
We have two numbers ; 24 and 7
I am going to count the 24's. However lets look at this value.
24 can be 'split' into a sum of 7's with a remainder. So each 24 consists of:
24 = ( 7 + 7 + 7 + 3 )
If we sum columns of these we will get the 3 summing to a value into which 7 will divide exactly. When this happens we have found our least common multiple.
Remember we are counting the 24's
count The 24's 1 ( 7 + 7 + 7 + 3 ) 2 ( 7 + 7 + 7 + 3 ) 3 ( 7 + 7 + 7 + 3 ) 4 ( 7 + 7 + 7 + 3 ) 4 ( 7 + 7 + 7 + 3 ) 5 ( 7 + 7 + 7 + 3 ) 6 ( 7 + 7 + 7 + 3 ) 7 ( 7 + 7 + 7 + 3 ) Add 49 + 49 + 40 + 21 ¯ exactly divisible by 7
We have a count of 7 so the value is 7 × 24 = 168

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