Question

The L.C.M of 2 power 7×3 power 4×7 and 2 power 5×3 Power 2×11 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\times72

7

×3

4

×7

2 power 3 into 3 power 4 into 11 i.e 2^3\times 3^4\times112

3

×3

4

×11

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 3^42

3

×3

4

Rest multiples are 2^4\times 7\times112

4

×7×11

LCM of 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

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.