Find H.C.F. and L.C.M. of the following number
456, 2.836
Answers
Answer:
Step-by-step explanation:
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
Also calculates
Step-by-step explanation:
the ratio of the following number is 5016