LCM :-42&56 also full sol
Answers
Answer:
2×2×2×3×7=168
Step-by-step explanation:
Hope it helps u
Answer:
168
Step-by-step explanation:
1. Listing multiples method:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 42:
42, 84, 126, 168, 210, 252
Multiples of 56:
56, 112, 168, 224, 280
Therefore,
LCM(42, 56) = 168
2. Prime factorization:
List all prime factors for each number.
Prime Factorization of 42 is:
2 x 3 x 7 => 21 x 31 x 71
Prime Factorization of 56 is:
2 x 2 x 2 x 7 => 23 x 71
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 3, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 7 = 168
In exponential form:
LCM = 23 x 31 x 71 = 168
LCM = 168
Therefore,
LCM(42, 56) = 168
3. Cake or Ladder method:
Write your numbers in a row.
Divide your numbers by prime numbers as long as both numbers are evenly divisible by that prime.
Cake / Ladder
2 42 56
7 21 28
3 4
When there are no more primes that evenly divide into both numbers you are done.
The LCM is the product of the numbers in the L shape, left column and bottom row.
LCM = 2 x 7 x 3 x 4
LCM = 168
Therefore,
LCM(42, 56) = 168
4. Division Method:
Write your numbers in the top row.
Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.
Division Table
2 42 56
2 21 28
2 21 14
3 21 7
7 7 7
1 1
Bring down any numbers that are not evenly divisible by the prime number.
When the last row of results is all 1's you are done.
Find the product of the prime numbers in the first column to get the LCM:
LCM = 2 x 2 x 2 x 3 x 7
LCM = 168
Therefore,
LCM(42, 56) = 168
5. GCF Method:
LCM(42,56) = (42 × 56) / GCF(42,56)
= (42 × 56) / 14
= 2352 / 14
= 168
Therefore,
LCM(42, 56) = 168
Hope you under
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