Question

the LCM of the numbers 2 power 7 into 3 power 4 into 7 and 2 power 3 into 3 power 4 into 11 is​

Answer 1

Answer:

The LCM of the numbers 2 power 7 into 3 power 4 into 7 and 2 power 3 into 3 power 4 into 11 is​ 2 power 7 into 3 power 4 into 7 into 11.

Step-by-step explanation:

Given : The numbers 2 power 7 into 3 power 4 into 7 and 2 power 3 into 3 power 4 into 11.

To find : The LCM of the numbers ?

Solution :

The numbers are

2 power 7 into 3 power 4 into 7 i.e $2^7\times 3^4\times7$

2 power 3 into 3 power 4 into 11 i.e $2^3\times 3^4\times11$

The LCM is the least common multiple i.e. the common multiple in the numbers and the rest numbers.

Common multiples are $2^3\times 3^4$

Rest multiples are $2^4\times 7\times11$

LCM of $2^7\times 3^4\times7$ and $2^3\times 3^4\times11$ is

$LCM=2^3\times 3^4\times 2^4\times 7\times11$

$LCM=2^7\times 3^4\times 77$

or $LCM=128\times 81\times 77$

$LCM=798336$

Therefore, The LCM of the numbers 2 power 7 into 3 power 4 into 7 and 2 power 3 into 3 power 4 into 11 is​ 2 power 7 into 3 power 4 into 7 into 11.

Answer 2

Answer:

2^7\times 3^4\times72

7

×3

4

×7 and 2^3\times 3^4\times112

3

×3

4

×11 is

LCM=2^3\times 3^4\times 2^4\times 7\times11LCM=2

3

×3

4

×2

4

×7×11

LCM=2^7\times 3^4\times 77LCM=2

7

×3

4

×77

or LCM=128\times 81\times 77LCM=128×81×77

LCM=798336LCM=798336