Answer:
The LCM of 56 and 40 is 280.
Step-by-step explanation:
Finding the LCM or Least Common Multiple
There are three methods to find the LCM of numbers: listing method, prime factorization and continuous division.
Let us now find the LCM of 56 and 40 using each method.
Listing Method
In the listing method, list down the multiples of each number. Then, get the smallest common multiple that they have.
56, 112, 168, 224, 280, 336
40, 80, 120, 160, 240, 280
LCM = 280
Prime Factorization
In prime factorization, give the prime numbers that when multiplied together is equal to the number. If there is a common prime factor base, select the prime number that has the most count.
56 = 2 × 2 × 2 × 7
40 = 2 × 2 × 2 × 5
LCM = 2 × 2 × 2 × 7 × 5 = 280
Continuous Division
In continuous division, we write the given numbers separated by a comma. Divide them by a suitable prime number. Quotients are put under the numbers in the next row. Then, multiply all the prime divisors and the co-prime numbers left in the last row.
2 | 56, 40
2 | 28, 20
2 | 14, 10
| 7, 5
LCM = 2 × 2 × 2 × 7 × 5 = 280
For examples of finding the LCM, visit the links:
https://brainly.ph/question/1674403
https://brainly.ph/question/1742550
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