find the LCM 2³×3×5 and 2⁴×5×7
Answers
here is ur answer...
2^3×5×3×14
hope it will help you
Answer:
LCM of 2³×3×5 and 2⁴×5×7 = 2⁴×3×5×7 = 1680
Step-by-step explanation:
Given numbers are 2³×3×5 and 2⁴×5×7
Required to find the LCM of 2³×3×5 and 2⁴×5×7
Solution:
LCM of two numbers is the smallest multiple of that two numbers
Here the numbers are 2³×3×5 and 2⁴×5×7
To get the least multiple of these two numbers, we need to consider all the prime factors of these two numbers in their highest power
LCM = Product of prime factors in highest power of these two numbers.
The prime factors of these two numbers are 2,3,5,7
The highest power of the prime factors in the prime factorization of these two numbers = 2⁴,3,5,7
LCM = Product of prime factors in highest power of these two numbers
= 2⁴×3×5×7
= 16×3×5×7
= 1680
∴LCM of 2³×3×5 and 2⁴×5×7 = 2⁴×3×5×7 = 1680
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