Answer:
The L.c.m of 21, 63, 105 is 315.
Step-by-step explanation:
Step 1:
Find factors of the given number
Prime factor of 21 is 3 × 7
Prime factor of 63 is 3 × 3 × 7
Prime factor of 105 is 3 × 5 × 7
Now find common prime factor
Common prime factor = 3 × 7
And uncommon factor = 5 × 3
Step 2:
The highest power of common prime factor = 3 × 7 × 5 × 3 =315
Hence, The LCM is 315.