Calculate the difference between highest common factor and lowest common multiple of 12 and 30.
Pls help me to solve this with working method.
Answers
Answered by
1
Answer:
54
Step-by-step explanation:
Factors of 12: 1,2,3,4,6
Factors of 30: 1,2,3,5,6,10,30
Common factors: 1,2,3,6
Highest Common factor: 6
Multiples of 12: 12,24,36,48,60
Multiples of 30: 30,60
Common Multiples: 60
Lowest Common Multiple: 60
If subtract HCF from LCM: 60-6 = 54
If subtract LCM from HCF: 6-60 = -54
HOPE IT HELPS :)
Answered by
1
Answer:54
Step-by-step explanation:
HCF of 12 and 30
12 = 2^2 x 3^1
30 = 2^1 x 3^1 x 5^1
In HCF, choose numbers that appear in both and pick the one with the smaller power
= 2^1 x 3^1
= 6
LCM of 12 and 30
In LCM, pick all numbers that appear in both and pick the ones with the higher power
= 2^2 x 3^1 x 5^1
= 60
Difference:
60 - 6
=54
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