find lcm and hcf by prime factorisation method
1. 12,16,24
2. 20,25,30
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Answer:
Step-by-step explanation:
1)SEE TO FIND LCM WE FIND COMMON FACTORS
12=2×2×3
16=2×2×2×2
24=2×2×2×3
LCM=COMMON FACTORS ×UNCOMMON FACTORS
COMMON FACTORS=2×2×2×3
UNCOMMON FACTORS=2
LCM=2×2×2×3×2=48
SO THE LCM IS 48
->Prime Factorization of :->
12= 2 * 2 * 3
16= 2 * 2 * 2 * 2
24= 2 * 2 * 6
Common factor in all three numbers :-> 2 * 2
So, HCF of 12,16 and 24= 2 * 2 = 4
2)LCM=2 x 2 x 5 x 5 x 3=300
Prime Factorization of :->
20= 5*2*2
25= 5*5
30= 5*3*2
Common factor in all three numbers :-> 5
So, HCF of 12,16 and 24=5
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