LCM of 50 and 55 step by step explanation
Answers
Step-by-step explanation:
l c m of 50 =2×2×5
" of 55=5×5
dividi 50 to 2 than dividi divide reminder 10 then the remainder is 5 so reminder is not came in the table of 234 so then we divide 5 into the number 5 in the same way we do in the case of 55 55 is not came on in the table on 234 55 is only came on the five table so we divide 55 25 the remainder is 11 so we provide reminder 11 to the 11 and the last reminder is one the process of LCM is 2 divide the number 2
Answer:
GCF(50,55) = 5
LCM(50,55) = ( 50 × 55) / 5
LCM(50,55) = 2750 / 5
LCM(50,55) = 550
Least Common Multiple (LCM) of 50 and 55 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50 and 55. First we will calculate the prime factors of 50 and 55.
Prime Factorization of 50
Prime factors of 50 are 2, 5. Prime factorization of 50 in exponential form is:
50 = 21 × 52
Prime Factorization of 55
Prime factors of 55 are 5, 11. Prime factorization of 55 in exponential form is:
55 = 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 50 and 55.
LCM(50,55) = 21 × 52 × 111
LCM(50,55) = 550