the lcm of 224,280 and 236 with solution
Answers
Answer:
LCM-3360
Step-by-step explanation:
1. Decompose all numbers into prime factors
224 2 112 2 56 2 28 2 14 2 7 7 1 280 2 140 2 70 2 35 5 7 7 1 336 2 168 2 84 2 42 2 21 3 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 224 = 25 . 7
Prime factors of 280 = 23 . 5 . 7
Prime factors of 336 = 24 . 3 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 7
Common prime factors with the greatest exponent: 25, 71
Uncommon prime factors: 5 , 3
Uncommon prime factors with the greatest exponent: 51, 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 25. 71. 51. 31 = 3360
Plz mark me as brainlist