Question

find the L.c.m. and H.c.f. of 20,25,35,by prime factorization method​

Answer 1

Answer:

. Decompose all numbers into prime factors

20 2 10 2 5 5 1 25 5 5 5 1 35 5 7 7 1 45 3 15 3 5 5 1

2. Write all numbers as the product of its prime factors

Prime factors of 20 = 22 . 5

Prime factors of 25 = 52

Prime factors of 35 = 5 . 7

Prime factors of 45 = 32 . 5

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 5

Common prime factors with the greatest exponent: 52

Uncommon prime factors: 2 , 7 , 3

Uncommon prime factors with the greatest exponent: 22, 71, 32

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 = 52. 22. 71. 32 = 6300

Answer 2

Answer:

LCM of 20,25,35=700..

Step-by-step explanation:

HCF of 20,25,35=5....