Answer :

Here are the Least Common Multiples (LCMs) for the given pairs:

1. LCM of (26, 32) = 416
2. LCM of (32, 58) = 928
3. LCM of (25, 37) = 925
4. LCM of (158, 200) = 15800
5. LCM of (49, 98) = 98

Answer:

1. (26 × 32) = 52.

2.(32 × 58) = 928.

3.(25 × 37) = 925.

4.(158 × 200) = 15800.

5.(49 × 98) = 98.

Step-by-step explanation:

1. write factors of 26 and 32.

LCM(26 × 32) =

factors of 26 = 13 × 2

factors of 32 = 2 × 2 × 2 × 2 × 2

the highest power is 2^5 × 13

it will gives 52.

2. write factors of 32 and 58.

LCM(32 × 58) =

factors of 32 = 2^5

factors of 58 = 29 × 2

then lcm will be 928.

3. write factors of 25 and 37.

LCM(25 × 37) =

factors of 25 = 5 × 5

factors of 37 = 37

then lcm will be 925.

4. write factors of 158 × 200

LCM( 158 × 200) =

factors of 158 = 79 × 2

factors of 200 = 2 × 2 × 5 × 2 × 5

then lcm will be 15800.

5. write factors of 49 and 98

LCM(49 × 98) =

factors of 49= 7 × 7

factors of 98 = 2 × 7 × 7

then lcm will be 98.

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