Question

Find the LCM by prime factorization and common division method 1) 336 and 54 2) 510 and 92 who smart enough to this do i will give you brany plus more points

Answer 1

Answer:

Prime factorisation of 336 and 54.

➡ 336 = 2×2×2×2×3×7 = 2⁴ × 3 × 7

➡ 54 = 2×3×3×3 = 2 × 3³

So,

LCM ( 336, 54 ) = 2⁴ × 3 × 7 = 3024.

HCF ( 336, 54 ) = 2 × 3 = 6.

Now,

LCM × HCF = Product of two numbers.

➡ 3024 × 6 = 336 × 54

➡ 18144 = 18144

Hence verified !

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Answer 2

Answer:

2)510 and 92

Step-by-step explanation:

510=2*5*3*17

92=2*2*23

LCM(510,92)=product of greatest power of each factor

=2*2*3*5*17*23

=23,460.

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