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Using prime factorization method find the …

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Using prime factorization method find the hcf and LCM=product of 3 numbers???
  • 1 answers

Sia ? 4 years, 8 months ago

The prime factors of:
378 = 2 {tex} \times{/tex} 33 {tex}\times{/tex} 7
180 = 23 {tex}\times{/tex} 32 {tex}\times{/tex} 5
420 = 22 {tex}\times{/tex} 3 {tex}\times{/tex} 7{tex}\times{/tex} 5
HCF = 2 {tex}\times{/tex} 3=6
and LCM(378, 180, 420) = 22 {tex}\times{/tex} 33 {tex}\times{/tex} 5 {tex}\times{/tex} 7 = 3780
HCF {tex}\times{/tex} LCM = 6 {tex}\times{/tex} 3780 = 22680
Product of given numbers is = 378 {tex}\times{/tex} 180 {tex}\times{/tex} 420 = 28576800
Hence, HCF {tex}\times{/tex} LCM {tex}\ne{/tex} Product of three numbers.

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