find the LCM of 16 and 9
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Subject:
Math -
Author:
zechariahhobbs -
Created:
1 year ago
Answers 2
Answer:
LCM of 16 and 9LCM = 144
Step-by-step explanation:
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Author:
shnookienz1z
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Rate an answer:
5
Step-by-step explanation:
To calculate the LCM of 9 and 16 by the division method, we will divide the numbers(9, 16) by their prime factors (preferably common). The product of these divisors gives the LCM of 9 and 16.
Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 9 and 16. Write this prime number(2) on the left of the given numbers(9 and 16), separated as per the ladder arrangement.
Step 2: If any of the given numbers (9, 16) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
Step 3: Continue the steps until only 1s are left in the last row.
The LCM of 9 and 16 is the product of all prime numbers on the left, i.e. LCM(9, 16) by division method = 2 × 2 × 2 × 2 × 3 × 3 = 144.
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