Question

26. Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method
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Answer 1

Answer:

Step-by-step explanation:

LCM=3×2×4×3×5=360

As product of numbers =LCM×HCF

⇒6×72×120=HCF×360

⇒HCF=144

Answer 2

Step-by-step explanation:

HCF

6 = 2x3

72 = 2x2x2x3x3

120= 2x2x2x5x3

THE COMMON FACTORS IN THESE THREE ARE 2x3 THUS THE HIGHEST COMMON FACTOR IS 2x3=6

LCM

WE CONSIDER THE HIGHEST POWER IN TOTAL

HIGHEST POWER FOR TWO = 2x2x2

HIGHEST POWER FOR THREE= 3x3

HIGHEST POWER FOR FIVE= 5

MULTIPLY ALL THESE FOR LCM

LCM= 2x2x2x3x3x5= 360