Question

find the HCF and LCM of 105 and 1515 by prime factorization method .......?

Answer 1

Prime Factors Of 105=3×5×7
Prime Factors Of 1515=3×5×101
Common factors=3×5
HCF=15
Hope It Helps.

Answer 2

1. Decompose all numbers into prime factors1053355771 15153505510110112. Write all numbers as the product of its prime factorsPrime factors of 105=3 . 5 . 7Prime factors of 1515=3 . 5 . 1013. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 3 , 5

Common prime factors with the greatest exponent: 31, 51

Uncommon prime factors: 7 , 101

Uncommon prime factors with the greatest exponent: 71, 1011

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 = 31. 51. 71. 1011 = 10605