6= 2×3, 72=2³×3³, 120 = 2³×3×5
Here ,2¹ and 3¹ are the smallest power's of the common factors 2 and 3 respectively.
So, HCF (6,72,120)=2¹×3¹=2×3=6 2³,3² and 5¹ are the greatest power's of the prime factors 2,3 and 5 respectively involved in the three numbers.
So,. LCM (6,72,120)=
2³×3²×5¹=360
Written on June 3, 2021, 9:42 p.m.