Find the HCF of 86 and 404 by prime factorization method. Hence find their LCM.
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Find the HCF of 86 and 404 by prime factorization method. Hence find their LCM.
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HCF of 86 and 404 = 2
LCM of 86 and 404 = 17372
Step-by-step explanation:
GIVEN NUMBERS
86
404
___________________________
TO FIND
HCF
___________________________
HCF OF 86
86 / 2 = 43
43 / 43 = 1
86 = 1 × 43
86 = 1¹ × 43¹
___________________________
HCF OF 404
404 / 2 = 202
202 / 2 = 101
101 / 101 = 1
HCF = 2 × 2 × 101
HCF = 2²× 101¹
HCF = 2
HCF of 86 and 404 = 2
___________________________
Now Let's find the LCM of 86 and 404
W know that,
HCF + LCM = Products of Number
2 + LCM = 86 × 404
LCM = 86 × 404 / 2
LCM = 34744 / 2
LCM = 17372
LCM of 86 and 404 = 17372
Verified answer
Find the HCF of 86 and 404 by prime factorization method. Hence find their LCM
By Prime factorisation method, prime factors of 96 and 404 are:
96=2×2×2×2×2×3
404=2×2×101
HCF = Product of common primes factors in given numbers.
∴ HCF of 96 & 404 = 2×2=4
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