the LCM of 24,36,56,81 is by prime factorization
Answers
Answer:
The LCM of 24, 36, 56 and 81 is 4536.
STEPS:
1. Find the prime factors of 24.
The prime factors of 24 are 2, 2, 2 and 3.
2. Find the prime factors of 36.
The prime factors of 36 are 2, 2, 3 and 3.
3. Find the prime factors of 56.
The prime factors of 56 are 2, 2, 2 and 7.
4. Find the prime factors of 81.
The prime factors of 81 are 3, 3, 3 and 3.
5. Calculate the LCM.
The least common multiple is the product of all factors in the greatest number of their occurrence.
LCM = 2^3 .3^4 . 7
The LCM of 24, 36, 56 and 81 is 4536.
Note:-
The least common multiple (LCM) can be used to add or subtract unlike fractions, or fractions with different denominators, by helping to find the lowest common denominator. LCM is also a tool for solving word problems in which the lowest common number or amount must be found among different quantities of things.
