Find the L.C.M by Common Division Method:
175, 168, 350
45, 125, 225
44, 126, 198, 280
Answers
Answer:
To find Least Common Multiple by using Division Method we need to follow the following steps.
Step 1: Write the given numbers in a horizontal line, separating them by commas.
Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.
Step 3: We put the quotient directly under the numbers in the next row. If the number is not divided exactly, we bring it down in the next row.
Step 4: We continue the process of step 2 and step 3 until all co-prime numbers are left in the last row.
Step 5: We multiply all the prime numbers by which we have divided and the co-prime numbers left in the last row. This product is the least common multiple of the given numbers.
Answer:
LCM(175, 168, 350, 45, 125, 225, 44, 126, 198, 280) = 693000
Step-by-step explanation:
Prime factorization of the numbers:
175 = 5 × 5 × 7
168 = 2 × 2 × 2 × 3 × 7
350 = 2 × 5 × 5 × 7
45 = 3 × 3 × 5
125 = 5 × 5 × 5
225 = 3 × 3 × 5 × 5
44 = 2 × 2 × 11
126 = 2 × 3 × 3 × 7
198 = 2 × 3 × 3 × 11
280 = 2 × 2 × 2 × 5 × 7
LCM(175, 168, 350, 45, 125, 225, 44, 126, 198, 280)
= 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11
= 693000
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