find the Lcm and HCF of the following pairs
If integers and verify that Lom Hefa
product of the two number.
12, 15 and 2 (i) 17,23 and 29 (1) 8, a and 28
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Answer:
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Step-by-step explanation:
- hcf of 12=2×2×3
15=3×5×1
2=2×1
lcm=2²×3×5=60
- hcf of 17,23 and 29
17=17×1
23=3×7×1
29=29×1
hcf=1
lcm=17×23×29= 11339
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Using prime factorisation method:
(i) 12, 15 and 21
Factor of 12=2×2×3
Factor of 15=3×5
Factor of 21=3×7
HCF (12,15,21)=3
LCM (12,15,21)=2×2×3×5×7=420
(ii) 17, 23 and 29
Factor of 17=1×17
Factor of 23=1×23
Factor of 29=1×29
HCF (17,23,29)=1
LCM (17,23,29)=1×17×23×29=11,339
(iii) 8, 9 and 25
Factor of 8=2×2×2×1
Factor of 9=3×3×1
Factor of 25=5×5×1
HCF (8,9,25)=1
LCM (8,9,25)=2×2×2×3×3×5×5=1,800
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