The correct option is C 22 x 32 x 51 Express 60 and 45 as product of prime factors. 60 = 2^2 × 3^1 × 5^1 45 = 3^2 × 5^1 Hence, LCM = 2^2 × 3^2 × 5^1 ...

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Standard VII

Mathematics

Prime Factorization

LCM of 60,45 ...

Question

LCM of 60, 45 is

2 x 3 x 5

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2² x 3³

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2² x 3² x 5¹

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2³ x 3²

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Solution

The correct option is C
2² x 3² x 5¹

Express 60 and 45 as product of prime factors.
$60 = 2^{2} \times 3^{1} \times 5^{1}$
$45 = 3^{2} \times 5^{1}$
Hence, LCM = $2^{2} \times 3^{2} \times 5^{1}$

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Similar questions

State true or false.

Five rational numbers between.

\frac{2}{3}

and

\frac{4}{5}

are

\frac{41}{60}, \frac{42}{60}, \frac{43}{60}, \frac{44}{60}, \frac{45}{60}

$\frac{1}{2}$ , $\frac{2}{3}$ , $\frac{3}{4}$ and $\frac{4}{5}$ as like fractions are $\frac{40}{60}$ , $\frac{30}{60}$ , $\frac{45}{60}$ and $\frac{48}{60}$ repectively.

Why LCM of fractions equals to LCM(of numerators)/ HCF (of denominators)?

Question 10 (a)

Find the LCM of the following numbers:
9 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Q. P is the LCM of 2, 4, 6, 8, 10. Q is the LCM of 1, 3, 5, 7, 9. L is the LCM of P and Q Find the relation between L and P

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LCM of 60, 45 is

The correct option is C 22 x 32 x 51 Express 60 and 45 as product of prime factors. 60=22×31×51 45=32×51 Hence, LCM = 22×32×51

The correct option is C
2² x 3² x 5¹

Express 60 and 45 as product of prime factors.
$60 = 2^{2} \times 3^{1} \times 5^{1}$
$45 = 3^{2} \times 5^{1}$
Hence, LCM = $2^{2} \times 3^{2} \times 5^{1}$