FIND THE LCM AND HCF OF 12,36,160 BY PRIME FACTORIZATION METHOD BY STEPS ANSWER FATS
Answers
aim :to find THE LCM AND HCF OF 12,36,160 BY PRIME FACTORIZATION METHOD BY STEPS ANSWER
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Answer:
The LCM of 12, 36, and 160 is 1440 and the HCF is 12 using the prime factorization method.
Step-by-step explanation:
To find the least common multiple (LCM) and highest common factor (HCF) of 12, 36, and 160 using the prime factorization method, we can follow these steps:
Write the prime factorization of each number:
12 = 2^2 * 3
36 = 2^2 * 3^2
160 = 2^5 * 5
To find the LCM, we need to find the highest power of each prime number that appears in the prime factorization of any of the numbers. In this case, the LCM is 2^5 * 3^2 * 5, which simplifies to:
LCM = 1440
To find the HCF, we need to find the lowest power of each prime number that appears in the prime factorization of all of the numbers. In this case, the HCF is 2^2 * 3, which simplifies to:
HCF = 12
Therefore, the LCM of 12, 36, and 160 is 1440 and the HCF is 12.
To know more about prime factorization, click on the link below:
https://brainly.in/question/5108914
To know more about the LCM & HCF, click on the link below:
https://brainly.in/question/4829951
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