Question

Find the LCM and HCF of 6! 7! 8!​

Answer 1

Step-by-step explanation:

lcm

6= 2×3×1

7=1×7

8= 2×2×2×1

hcf

1

Answer 2

LCM and HCF of 6! 7! 8!:

The LCM and HCF of 6!, 7! and 8! is 8! and 6! respectively.

LCM:

The least number which is exactly divisible by two or more numbers is known as Least Common Multiple.

LCM is also called as the Least Common Divisor.

• 6! = 6! × 1
• 7! = 7 × 6! × 1
• 8! = 8 × 7 × 6! × 1

8! can be divided by both 7! and 6!.

Hence, the LCM of 6!, 7! and 8! is 8!.

HCF:

The greatest factor present in between given two or more numbers is known as Highest Common Factor.

HCF is also known as Greatest Common Factor.

• 6! = 6! × 1
• 7! = 7 × 6! × 1
• 8! = 8 × 7 × 6! × 1

6! is the highest common factor among 6!, 7! and 8!.

Hence, the HCF of 6!, 7! and 8! is 6!.

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