Find the least number which is exactly divisible by 8,20 and 24
Answers
Answered by
1
The smallest number which is divisible by 8, 20 and 24 = LCM of { 8, 20, 24 }
now , LCM of { 8, 20, 24} :
take prime factors of each
prime factor of 8 = 2 × 2 × 2
prime factors of 20 = 2 × 2 × 5
prime factors of 24 = 2 × 2 × 2 × 3
so, LCM of { 8, 20, 24} = 2³ × 3 × 5 = 120
hence, smallest number = 120
now , LCM of { 8, 20, 24} :
take prime factors of each
prime factor of 8 = 2 × 2 × 2
prime factors of 20 = 2 × 2 × 5
prime factors of 24 = 2 × 2 × 2 × 3
so, LCM of { 8, 20, 24} = 2³ × 3 × 5 = 120
hence, smallest number = 120
abhi178:
Demand of question is given by me ,
Answered by
2
That will be the LCM of 8, 20 and 24.
After calculating, you'll see it is 120.
So answer is 120. But you have edited, saying greatest three digit number. The greatest 3 digit multiple of 120 is 960. So you've got your answer.
Plz mark as brainliest :D
After calculating, you'll see it is 120.
So answer is 120. But you have edited, saying greatest three digit number. The greatest 3 digit multiple of 120 is 960. So you've got your answer.
Plz mark as brainliest :D
Similar questions