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
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.