find hcf and lcm of 356and 246 by prime factorisation meathod and verify hcf ×lcm=product of both no
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2
Answer:
Given numbers: 336 and 54
Let us find the prime factorisation of 336 & 54.
336 = 2×2×2×2×3×7
336 = 2⁴ × 3 × 7
54 = 2×3×3×3
54 = 2 × 3³
So,
HCF of (336, 54) = 2 × 3
HCF of (336, 54) = 6
LCM of (336, 54) = 2⁴ × 3 × 7
LCM of (336, 54) = 3024
Now consider
Multiples of HCF and LCm is equal to the product of two numbers.
HCF × LCM × HCF = Product of two numbers.
6 × 3024 = 336 × 54
18144 = 18144
Answered by
0
Answer:
prime factors of 356 = 2×2×89
prime factors of 246 = 2×3×41
LCM = 2×2×3×89×41
= 43788
HCF = 2
HCF×LCM = a×b
2 × 43788 = 356×246
87576 = 87576
Step-by-step explanation:
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