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Find the hcf and lcm of …

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Find the hcf and lcm of 11008 and 7344 using fundamental of arithmetic

Posted by Hema Anand 5 years, 7 months ago

CBSE > Class 10 > Mathematics

4 answers

Yogita Ingle 5 years, 7 months ago

The prime factorization of 11008 is

2|11008

2|5504

2|2752

2|1376

2|688

2|344

2|172

2|86

43|43

1

11008=2×2×2×2×2×2×2×2×43

11008=2 × 8×43

The prime factorization of 7344 is

2|7344

2|3672

2|1836

2|918

3|459

3|153

3|51

17|17

1

7344=2×2×2×2×3×3×3×17

7344=2 × 4×3 × 3×17

Now, HCF=Product of the smallest power of each common

prime factor in the numbers.

HCF=2 × 4=16

LCM = Product of the greatest power of each prime factor,

involved in the numbers.

LCM=2 × 8×43×3 × 3×17=256×43×27×17=5052672

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