Question

LCM of 48, 108, 280​

Answer 1

Answer:

15120

Step-by-step explanation:

2)48, 108, 280

------------------------

2)24. 54. 140

-------------------------

2)12. 27. 70

-------------------------

3) 6. 27. 35

-------------------------

2. 9. 35

now, multiplying 2,2,2,3,2,9,35, we get------

2×2×2×3×2×9×35

= 15120

Answer 2

15120 is LCM of values 48,108,280

LCM of 48, 108, 280​ is 15120

Step-by-step explanation:

Given:

LCM of 48, 108, 280​    

To find:

LCM to the values

Solution:

• LCM is Minimal common multiple, and it is the minimal non-zero same number which will be the factors of given numbers.
• We need to find the factors of each term from that we have to comprise the least common number which is LCM.
• We need to collect the largest powers from the given values and the factors of all the values.

LCM of 48, 108, 280​

48⇒2×24

    ⇒2×2×12

    ⇒2×2×2×6

    ⇒2×2×2×2×3

108⇒2×54

     ⇒2×2×27

     ⇒2×2×3×9

     ⇒2×2×3×3×3

280⇒2×140

      ⇒2×2×70

      ⇒2×2×2×35

      ⇒2×2×2×5×7

To find the LCM we have to commute the multiplies, 2 which has the largest power of 2⁴ which is 2×2×2×2, 3 which has the largest power of 3³ which is 3×3×3, 5, and 7.

LCM of 48, 108, 280​⇒2⁴×3³×5×7

                                 ⇒2×2×2×2×3×3×3×5×7

                                 ⇒16×27×35

                                 ⇒15120    

Hence,

LCM of 48, 108, 280​ is 15120.