Question

LCM of 2 ki power 3 into 3 into 5 and 2 ki power 4 into 5 into 7 is

Answer 1

$\bf \red{LCM( {2}^{3} \times {3}^{5} , \: {2}^{4} \times 5\times\:7 ) = 1,36,080 }$

Given:

• ${2}^{3} \times {3}^{5}$ and
• ${2}^{4} \times {5}\times\:7$

To find:

• Find the LCM of both numbers.

Solution:

Concept to be used:

LCM of such numbers may be calculated by taking heights powers of prime factors.

Step 1:

Take LCM of both numbers.

For that take highest power of factors.

$LCM( {2}^{3} \times {3}^{5}, \: {2}^{4} \times 5\times\:7 ) = {2}^{4} \times {3}^{5} \times 5\times\:7$

Step 2:

Simplify.

$LCM( {2}^{3} \times {3}^{5}, \: {2}^{4} \times 5\times\:7 ) = 16 \times 243 \times 35$

or

$LCM( {2}^{3} \times {3}^{5} , \: {2}^{4} \times 5\times\:7 ) =136080$

Thus,

$\bf \: LCM( {2}^{3} \times {3}^{5}, \: {2}^{4} \times 5\times\:7 ) =1,36,080$

Learn more:

1)Finthe Hcf and lcm of a and b for the numbers a=2⁵×3⁷×5²×7 and b= 2³×3²×5⁶×11 . Also check if hcf (a,b) × lcm (a,b) = a×...

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2) Find the respective ratio of lcm and hcf of two numbers 28 and 42

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