find the HCF and LCM of : 456,836
Answers
Answer:
1. Decompose all numbers into prime factors
456 2 228 2 114 2 57 3 19 19 1 836 2 418 2 209 11 19 19 1
2. Write all numbers as the product of its prime factors
Prime factors of 456 = 23 . 3 . 19
Prime factors of 836 = 22 . 11 . 19
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 19
Common prime factors with the greatest exponent: 23, 191
Uncommon prime factors: 3 , 11
Uncommon prime factors with the greatest exponent: 31, 111
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 = 23. 191. 31. 111 = 5016
Step-by-step explanation:
fristly you take LCM AND THEN HCF IN LCM YOU HAVE TO MULTIPLY SAME THINGS AND IN HCF ALL