if d = LCM (36, 198) then the value of d is?
Answers
Answer:
396
Step-by-step explanation:
step 1 :-Find the prime factorization of 36
36 = 2 × 2 × 3 × 3
step 2 :- Find the prime factorization of 198
198 = 2 × 3 × 3 × 11
step 3 :- Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3 × 3 × 1
step 4 :- LCM = 396
hope you understand
Given:
d = LCM(36,198)
To find:
Value of d.
Solution:
Two numbers are given: 36 and 198.
LCM (least common multiple) is a number that is a multiple of the given numbers 36 and 198. Factors of 36 and 198 are given as below:
36 = 2×2×3×3 = 2²×3²
198 = 2×3×3×11
The multiples are 2²×3²×11 . The product of these numbers give the LCM of these numbers.
LCM = 2²×3²×11 = 396
∴ d = LCM(36,198) = 396
Value of d gives the LCM of the two given numbers.
Value of d is 396