What is the LCM of (23 x 3 x 5) and (24 x 5 x 7)?
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3
Answer:
(d) 1680
LCM = (23 × 3 × 5, 24 × 5 × 7)
∴ LCM = Product of greatest power of each prime factor involved in the numbers
= 24 × 3 × 5 × 7
= 16 × 3 × 5 × 7
= 1680
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Step-by-step explanation:
3 x 5 is 15.
15 x 23 is 345.
24 x 5 is 120.
120 x 7 is 840.
now we take lcm.
2 120 , 340
2. 60, 170
2. 30, 85
2. 15 , 85
3. 5 , 85
5. 1, 17
17. 1, 1.
2 x 2 x 2 x 2 x 3 x 5 x 17
16 x 15 x 17
170 x 17
2897.
hope it helps you......
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